Stubborn & Marulus Fidelis, thank you for your responses!
Another concern of mine is the fact there are different Traditionalist positions with the main thing in common being the rejection of "the Vatican II sect". How would we respond to the criticism that this is similar to the Protestant Reformers who had a common enemy, but couldn't agree amongst themselves and ended up creating various new churches based on their own interpretations? Are the differences between Traditionalist positions not grave, which would lead to a schism between Traditionalist positions?
How does our current situation centered around Vatican II relate to previous schisms that also involved differing interpretations of faith and authority, like the Great Schism, the Jansenist Schism, the Old Catholic Schism, etc.?
Thank you for your help!
Yes, we can't all be correct and the differences are grave enough to constitute schism. That is why most of the various groups do not communicate in sacred things.
The response is quite simple, actually. Only one position is truly Catholic, and the rest, being non-Catholic, have no effect on the unity of Catholics who agree on all matters of dogma. (Which does not mean every Catholic is necessarily aware of the situation in Rome.)
It should be noted, however, that the disunity among traditionalists pales in comparison to the utter free-for-all that is the Novus Ordo. Where Bp. Fellay, Biden, Bergoglio and Strickland supposedly have the same faith.
And while the one is to be expected according to the maxim: Strike the shepherd and the sheep will be scattered, for the Novus Ordo sect there is no excuse.