these are charges that Wikipedia levels against SSPX

WHat are the true explanations
============================
Political controversies

France
There is an overlap in French society between the SSPX's constituency of support and support for reactionary political positions. In the French context, such positions include:
Condemnation of the 1789 French Revolution and of the French Republic, accompanied by support for the restoration of the absolutist French monarchy. Archbishop Lefebvre vocally condemned the Revolution.[1] Lefebvre's close associate Fr. Paul Aulagnier, who has since left the SSPX and been reconciled with the Church hierarchy, was quoted in an SSPX periodical in 2001 as saying, while serving in Belgium (a constitutional monarchy): "I am pleased to be in Brussels - I who detest the republic and hate democracy."[2]
Support for the Vichy government (1940–1944). Lefebvre spoke approvingly of the "Catholic order of Pétain", referring to the Vichy head of state Philippe Pétain, who was later sentenced to death as a traitor and died in prison.[3] The Society organises pilgrimages to Pétain's tomb,[4] and during the 1987 pilgrimage the Archbishop referred to him as having "restored [France] spiritually and morally".[5] The Society's official journal in Belgium has denounced the anti-Vichy trials conducted after World War II by the mainstream republican conservatives of Charles De Gaulle.[6] There have also been allegations that the SSPX had links with the Vichy functionary Paul Touvier and that Vichy songs were learned at a scout camp of the Society (see below).
Support for the Front National political party and its leader, Jean-Marie le Pen, who is on the far right of the political spectrum.[7][8] In 1985, Lefebvre was quoted in the French far-right periodical Présent as endorsing Le Pen, though his endorsement was made on the basis that Le Pen was the only major French politician who unambiguously condemned abortion. In 1991, the then SSPX priest Fr. Philippe Laguérie called the Front National "the party least removed from the natural law".[9]Paul Touvier
In 1989, Paul Touvier, a former Vichy French official and a fugitive wanted for war crimes, was arrested in a Society priory in Nice. The SSPX stated at the time that Touvier had been granted asylum there as "an act of charity to a homeless man".[26] In 1994, Touvier was sentenced to life imprisonment for ordering the execution of seven Jєωs at Rillieux-la-Pape in 1944, in reprisal for the French Resistance's killing of the Vichy minister Philippe Henriot.[27] On his death in 1996, a Requiem Mass for the repose of Touvier's soul was offered by Father Philippe Laguérie,[28] an SSPX priest who was then the Rector of the Parisian church of St Nicolas du Chardonnet.[29]SPX and Scouting

A number of groups whose following overlaps with that of the SSPX, such as the Scouts d'Europe, have been accused of extremist leanings.[35] In 1998, the Association Française de Scouts et Guides Catholiques faced international scrutiny following an accident at Perros-Guirec that claimed the lives of four marine Scouts and of a sailor who died in an attempt to save them.[36] A media frenzy followed, and it was alleged that Fr. Cottard, the SSPX priest responsible for the children, had subjected them to a harsh disciplinary regimen, forcing them to spend the night before their deaths sleeping on a pebbled beach. Fr. Cottard had also failed to call the emergency services for almost 8 hours, and did not take basic safety precautions such as properly checking the weather forecast.
Other controversies too have been linked to the Scouts:
A few days earlier, 72 girls had been hospitalised for sunstroke sustained during an outdoor Mass in the Cantal region.
A week later, a 14-year-old was left alone in a forest, without map or compass, and told to find his own way back to camp some 18 km away; this was allegedly a punishment for hitch-hiking during a march.[37]
A year earlier, the parent of a scout who attended a camp in Brittany alleged that her son returned having learned to sing Vichy songs.[37]
Other controversies

In February 2008, Saint Mary's Academy, a school in Kansas affiliated with the SSPX, refused to allow a woman referee to officiate at a high-school basketball game in which St. Mary's was participating, reportedly on the grounds that it was not appropriate for a woman to be in a position of authority over male students. In response, the other referees refused to referee the game.[38] The school issued a statement denying that the refusal was due to the reported reason. It stated instead that "[the] formation of adolescent boys is best accomplished by male role models", and that "[t]eaching our boys to treat ladies with deference, we cannot place them in an aggressive athletic competition where they are forced to play inhibited by their concern about running into a female referee".[39]

these are charges that Wikipedia levels against SSPX

WHat are the true explanations
============================
Political controversies

France
There is an overlap in French society between the SSPX's constituency of support and support for reactionary political positions. In the French context, such positions include:
Condemnation of the 1789 French Revolution and of the French Republic, accompanied by support for the restoration of the absolutist French monarchy. Archbishop Lefebvre vocally condemned the Revolution.[1] Lefebvre's close associate Fr. Paul Aulagnier, who has since left the SSPX and been reconciled with the Church hierarchy, was quoted in an SSPX periodical in 2001 as saying, while serving in Belgium (a constitutional monarchy): "I am pleased to be in Brussels - I who detest the republic and hate democracy."[2]
Support for the Vichy government (1940–1944). Lefebvre spoke approvingly of the "Catholic order of Pétain", referring to the Vichy head of state Philippe Pétain, who was later sentenced to death as a traitor and died in prison.[3] The Society organises pilgrimages to Pétain's tomb,[4] and during the 1987 pilgrimage the Archbishop referred to him as having "restored [France] spiritually and morally".[5] The Society's official journal in Belgium has denounced the anti-Vichy trials conducted after World War II by the mainstream republican conservatives of Charles De Gaulle.[6] There have also been allegations that the SSPX had links with the Vichy functionary Paul Touvier and that Vichy songs were learned at a scout camp of the Society (see below).
Support for the Front National political party and its leader, Jean-Marie le Pen, who is on the far right of the political spectrum.[7][8] In 1985, Lefebvre was quoted in the French far-right periodical Présent as endorsing Le Pen, though his endorsement was made on the basis that Le Pen was the only major French politician who unambiguously condemned abortion. In 1991, the then SSPX priest Fr. Philippe Laguérie called the Front National "the party least removed from the natural law".[9]Paul Touvier
In 1989, Paul Touvier, a former Vichy French official and a fugitive wanted for war crimes, was arrested in a Society priory in Nice. The SSPX stated at the time that Touvier had been granted asylum there as "an act of charity to a homeless man".[26] In 1994, Touvier was sentenced to life imprisonment for ordering the execution of seven Jєωs at Rillieux-la-Pape in 1944, in reprisal for the French Resistance's killing of the Vichy minister Philippe Henriot.[27] On his death in 1996, a Requiem Mass for the repose of Touvier's soul was offered by Father Philippe Laguérie,[28] an SSPX priest who was then the Rector of the Parisian church of St Nicolas du Chardonnet.[29]SPX and Scouting

A number of groups whose following overlaps with that of the SSPX, such as the Scouts d'Europe, have been accused of extremist leanings.[35] In 1998, the Association Française de Scouts et Guides Catholiques faced international scrutiny following an accident at Perros-Guirec that claimed the lives of four marine Scouts and of a sailor who died in an attempt to save them.[36] A media frenzy followed, and it was alleged that Fr. Cottard, the SSPX priest responsible for the children, had subjected them to a harsh disciplinary regimen, forcing them to spend the night before their deaths sleeping on a pebbled beach. Fr. Cottard had also failed to call the emergency services for almost 8 hours, and did not take basic safety precautions such as properly checking the weather forecast.
Other controversies too have been linked to the Scouts:
A few days earlier, 72 girls had been hospitalised for sunstroke sustained during an outdoor Mass in the Cantal region.
A week later, a 14-year-old was left alone in a forest, without map or compass, and told to find his own way back to camp some 18 km away; this was allegedly a punishment for hitch-hiking during a march.[37]
A year earlier, the parent of a scout who attended a camp in Brittany alleged that her son returned having learned to sing Vichy songs.[37]
Other controversies

In February 2008, Saint Mary's Academy, a school in Kansas affiliated with the SSPX, refused to allow a woman referee to officiate at a high-school basketball game in which St. Mary's was participating, reportedly on the grounds that it was not appropriate for a woman to be in a position of authority over male students. In response, the other referees refused to referee the game.[38] The school issued a statement denying that the refusal was due to the reported reason. It stated instead that "[the] formation of adolescent boys is best accomplished by male role models", and that "[t]eaching our boys to treat ladies with deference, we cannot place them in an aggressive athletic competition where they are forced to play inhibited by their concern about running into a female referee".[39]

If SSPX teaches that women should accept their role as women in society...then I totally agree with that. I think that the more and more women take leadership roles then the more likely we are as a society to lose distinction between our gender identities. That is not a good thing. I think things should swing back towards the natural way....male provider and female nurturer.