https://tradcatresist.blogspot.com/2018/08/interesting-new-apostolate.html

"In a recent sermon online by Fr Chazal, he foresaw few SSPX clerics or lay supporters awakening to its efforts to get the Personal Prelature it so desires in the near future.  The replacing of Bishop Fellay means no more 'Conflict Zone boo-boos' and yet the work towards a reconciliation will continue apace behind the scenes.
 
 Whilst this means that few priests may feel brave enough to make a step in the right direction, fortunately one positive about the recent actions of Pope Francis and indeed some moral perversions of his Cardinals, has led to an influx worldwide of disaffected novus-ordo laity to the Resistance. With no links to the SSPX, these souls have found their way to the Resistance through social-political movements, pro-life or the on-line arguments of Bishop Williamson amongst others.
 
 With this in mind a web site has been set up to educate those novus-ordo members leaning towards tradition to learn what we stand for and the truths of the Faith.
 
 Whilst not perfect, this site is a good example of an apostolate not geared towards Resistance vs SSPX, or aimed at pleasing those already involved, but for those searching for answers to the crisis in the modern Church. Let us hope for its success."
 
 Traditional catholic resistance : https://traditionalcatholicresistance.blogspot.com/

Maybe Bishop Williamson does not want people to stop believing in Jesus to become atheists.  

This is an excellent website, and I fully endorse it.

....."Nor is it even due to those most serious abuses and scandals"

And what kind of apostolate doesn't oppose mortal sin? Vatican II was created to destroy the Church to make room for one world religion which denied Jesus Christ.   There should be a resistance to mortal sin.  (And there should be resistance to modern art and architecture which doesn't honor God.  

Where is this citation?

With this in mind a web site has been set up to educate those novus-ordo members leaning towards tradition to learn what we stand for and the truths of the Faith.
 
 Whilst not perfect, this site is a good example of an apostolate not geared towards Resistance vs SSPX, or aimed at pleasing those already involved, but for those searching for answers to the crisis in the modern Church. Let us hope for its success."
 
 Traditional catholic resistance : https://traditionalcatholicresistance.blogspot.com/

It's interesting that the site is geared towards Novus Ordo Catholics. This seems to follow Fr. Chazal's formula, in that he looks for converts to Tradition (Resistance) from the Novus Ordo folks, rather than from SSPX adherents.

It's nice, too, that the new site doesn't aim to please those already involved (which is nearly impossible to do, it seems to me), but rather...."for those searching for answers to the crisis in the modern Church."

I do indeed hope for its success.

I too have to wonder, as Mater does, as why all the down thumbs to St. Patrick's comment on this thread. His comment is quite good.

Am I to understand that Fr. Chazal is working toward a reconciliation with the rest of the Catholic Church?

It would seem that you haven't really paid attention to what has been written in the OP.