The SSPX is a group of Bishops, priests, and laypersons who utterly reject the teaching authority of Vatican II and every Pope from John 23 to Benedict 16. They are schismatics, in that they reject an Ecumenical Council and several Popes. Rejecting the authority of only one Pope would be sufficient for the grave sin of schism, but they reject five Popes (so far) and a Council.
In addition, the members of the SSPX commit the grave sin of heresy, by rejecting the infallible teaching of the ordinary and universal magisterium as it has been exercised since Vatican II. For even if one concludes (I don’t) that Vatican II taught nothing infallibly, many of the Council’s teaching have been taught by the ordinary and universal Magisterium since that time.
Then there is the sin of arrogance by members of the SSPX that they would presume to judge a Council and every Pope since that Council, and would presume to place their own assessment of what is or is not Church teaching above the Council and the Popes.
Unfortunately, some conservative Catholics favor the SSPX and its members. Why? because they value conservatism over Catholicism. They support conservatives even when they are in a state of heresy. This also explains why so many conservative Catholics support Michael Voris, despite his heretical and absurd teachings (e.g. his denial that the Three Persons of the Trinity are consubstantial.
What will the next Pope do concerning the SSPX? I believe that the next Pope will be very conservative: Cardinal Arinze as Pope Pius XIII. Some conservative Catholics will think that he will take their side in various questions and disputes. But in truth, Catholicism is not conservatism. The correct answer to some theological questions is sometimes the liberal position, sometimes the moderate position, sometimes the conservative position.
I believe that the next Pope will utterly condemn the SSPX AND every Catholic who sympathizes with them, attends their Masses, and supports their positions. The next Pope will go to war against unfaithful Catholics — a war of words and the exercise of authority.
Ronald L. Conte Jr.
Roman Catholic theologian and Bible translator