I went to their website and the only thing that I can see they are not in schism according to the Holy See. They do follow Vatican II , how do they not? The only thing I can see them as not doing is not following the will of the Pope. They don’t really follow Rome, however I mean are they wrong about anything doctrinally.
Actually, they generally reject Vatican II. That is one of the points of contention. They want the Holy Father to repudiate Vatican II on the grounds that non-Catholic Theologians participated (but did not contribute). On paper, they say they accept it, but when Bishop Fellay rather rudely rejected meeting with the Holy Father last summer after the Motu Proprio was officially announced, it became clear that it was the erasure of Vatican II that they wanted.
The problem, as
I see it, is that they cannot understand that a modern (
not modernist) perspective can be valid and faithful.
Their issues with it are two-fold.
Vatican II was not doctrinal. That is it neither defined nor clarified and doctrines. It was pastoral in nature. So really, V-II does not have much of an impact other than to help bring certain attitudes and perspective in cleaarer focus. (I know this, I had a full semester class that was a survey of Vatican II and we real
all the documents.) However, as there are no anathemas or condemnations in it, I think that leads some SSPX leaders to look at it with suspicion.
The other problem is what happened after Vatican II. The Mass of Pope Paul VI was introduced shortly afterwards, and a liturgical, and, consequently, doctrinal free-for-all began in many quarters. Heresy and heterodoxy abounded. SSPX blames Vatican II for this.
The problem with that is that the origins of these abuses predate the calling of that council. For example, the admission of openly gay pmen to seminaries began in the late 1950s in the USA. (These men would later end up destroying many young people and costing the Church billions of dollars.) Liturgical abuse was common, perhaps even more common than today because the Latin Rite Mass before Paul VI has virtually no “options”.
But these are conveniently ignored. It is just easier to blame V-II and be done with it.
But that is not the problem. The real problem is that groups like the SSPX have destroyed their own credibility within the Church and have effectively eliminated any influence they may have by behaving in this arrogant manner.
What the Church need is faithful Christians who understand their faith and understand traditions and will not compromise. Instead, groups like the SSPX, and similar sedavacantist groups, lure away the the very people who can help keep the bark of Peter afloat.
We need their faithfulness. We need their orthodoxy. We need their obedience. The Church needs the SSPX. (But the SSPX needs the Church more!)