The hierarchy is the body of men vested with the authority to teach, govern and sanctify, which they received from the Pope.  The hierarchy is the most essential aspect of the mark of apostolicity.  No hierarchy = no Church with four marks, and no Church with four marks means the gates of hell have prevailed.

What church has all 4 marks?  Surely not the Vatican II church.  

The hierarchy is the body of men vested with the authority to teach, govern and sanctify, which they received from the Pope.  The hierarchy is the most essential aspect of the mark of apostolicity.  No hierarchy = no Church with four marks, and no Church with four marks means the gates of hell have prevailed.

Actually the death-dealing tongues of heretics are the gates of Hell per the Council of Florence.

And the hierarchy is not the "body of men", those are the hierarchs. 

And wrong again, the hierarchy is not the most essential aspect of apostolicity it is the apostolic faith.

Does the Vatican II sect have the apostolic faith?

What church has all 4 marks?  Surely not the Vatican II church. 

Since a hierarchy requires bishops with ordinary jurisdiction, and since bishop can only receive jurisdiction from the Pope, the only candidate for the Church with four marks is the universal Church based on Rome, which is one and the same institution that existed during the pontificate of Pius XII and the Pontificate of St. Peter. If that is what you mean by "the Vatican II church," then the Vatican II church is indeed still the Church with four marks.  If it lacks the four marks, the only conclusion you can draw is that a Church with four marks no longer exists.  And if that is the case, the Church founded by Christ - the one outside of which there is no salvation - no longer exists. 

Uggh.  I think the new PaxVobis screen name should be changed.  I keep thinking I'm speaking to the old Pax Vobis.

You're conflating two issues. If there is a positive doubt as to the form of the sacrament it must be treated as invalid, that's the case with NO consecrations and ordinations.

And yes, it is certain the ordination is invalid per Apostolicae Curae and consecration per Sacramentum Ordinis. If we didn't have those two docuмents we could call them doubtful and treat them as invalid but since we do have them we can be certain they are invalid.

On the other hand, when we know that the minister is using a valid rite we assume it's valid until proven otherwise.

Do you go to the altar to check each time whether the priest said HOC EST ENIM CORPUS MEUM correctly?

Nothing in Apostolic Curae proves or even suggests that the new rite of ordination is invalid, neither does anything in Sacramentum Ordinis.  To simplify this, explain what is required for a valid form and then show why the form of the new rite or ordination and consecration doesn't meet the criterion. 

   
 
It seems to me that they also retain the power of orders since this is also linked indirectly to the power of jurisdiction, while directly only to the apostolic succession. The Church has always been very careful before affirming that a validly consecrated Bishop has lost the power of orders after becoming a heretic. Since Protestantism (1517), she still has not declared the sacraments of Lutheran bishops invalid; and only after 300 years did Leo XIII declare the Anglican orders to be invalid. Certainly the same criteria should be applied to the power of orders of the conciliar Popes: It is at the least very early to place in doubt the validity of the sacraments ministered by them.

I can't believe that so much effort some traditional catholics took to investigate and defend ordinations and consecrations of Thuc bishops. But just after one or two reading of the text of new rite of consecration or ordination, they are assured that it must be invalid. 
It's not logical nor sincere. Okay, let's say that I presume validity of Thuc consecrations and all ordinations. Why it would be different than Novus ordo ordinations and consecrations?ć
Thare are changes in rites, but who can say 100 % it's not valid because of that?
God ask from all of us humility, in this confusion we can't believe ourselves or rely easily on others to make clear and correct conclusion. I may be wrong, I admit.
All we have are opinions, who can be erronious or correct. 
Maybe if the prophecy of three days of darkness come true, and Peter and Paul come down from Hevean and designate a true pope (Angelic Pontiff), who will publish full text of Third Secret of Fatima, consecrate Russia to Our Lady's Immacate Heart, that would be only way I see it from sedevacantist point of view. 
We can have one, two or more "false" popes, heretics and apostates, and what would remain from hierarchy if all priests, bishops and cardinals in Novus Ordo are invalid because of the new rites of sacrament?
Indeed, may it will happen just in that way. I know that with this divisions in traditional catholic circles, and sedevacantists, there wouldn't be one pope for all to agree on. That's why some claim that the last valid pope was Pius V., for others are Pius X. and mostly Pius XII. Bishop Sanborn hold theological novel position that pope can be material and not formal. It contradicts Church teaching from Vatican I council. 


This opinions have the same level of authority, or lack of it. 
It would really have to be something miraculous, impossible to deny to solve this crisis. Our Lady of Good Success said that the restoration of Catholic Church will begin after everything would seem to be lost. It would seem that Catholic Church has disappeared, Our Lord Jesus Christ died on the Cross. With all those wounds, blood and shameful death on the Cross, He showed what His Church would have to go through. I believe in the coming of Age of Peace, Great Monarch, restoration of Christendom, and it would last maybe 40-50 years before coming of Antichrist. 
Prophecies of Our Lady indicate this, and prophecies given to Marie Julie Jahenny, bl. Anne Katerina Emmerick also point to apostasy, false church, Vatican II, etc.
Church is indefectible, there are real, strong arguments for sedevacantism, but for me it's risky for salvation of souls. There will be more changes to Novus ordo mass, more heresies, maybe changes in rites of sacraments again.
I don't believe that Francis is the pope, this is way to much to swallow, even more than for Paul VI. and John Paul II. 

Regardless, we need to pray for his conversion at least. So many Catholics are still duped by heretic popes, bishops, let's pray for them to discover and practise true, traditional Catholic faith.
Sorry for offtopic, I can't write short post, for some reason....

   
Could you explain me how they can retain power of order if that Anglican or Lutheran order is invalid, null and void declared by pope Saint Leo XIII.?

They do retain the power of orders. The indelible character that is conferred by ordination is permanent, just like the baptismal character.  It remains for all eternity, even if the priest or bishop goes to hell.