They were tricked into these negotiations.
The whole business of "allowing" the old Mass and re-introducing traditional vestments, etc, has been a snare and trickery.
Just when the SSPX appeared to be split in two, the Pope revealed that nothing has changed and that acceptance of VII is a requirement for reconciliation, in the hope of having caught the superior and many others already. Alas, the trap was sprung too early and they evaded it.
I agree with Maria in that it would have been imposed eventually anyway. They just tried too early in the game.
The "anti-semitism" of the SSPX is just wanting to convert Jews to Christ and holding fast to that part of church teaching. Needless to say, the Novus Ordo church has "moved beyond" that and prefer to say that their Covenant is salvific for them (Kardinal Kasper repeatedly) and just change the whole doctrine of the RCC on the subject under and after VaticanII.
Whatever Bishop Williamson said..., it is his personal opinion and not an opnion of the SSPX as such. Besides, he uttered an opinion about a historical incident. No matter how stupid an utterance about a historical incident may be, it has nothing to do with dogma. If I hold the opinion that Napolean didn't win but rather lost at Jena, then the only thing I am guilty of, is being a bit stupid.
He said nothing touching upon the morality of the Jewish tragedy. Murder is murder and is evil. He just thinks a lot less people were killed than the official numbers say.
The SSPX as a whole does not speculate about history, but are concerned with the Catholic faith only. (Remember that the bishops of the Society are only auxiliary Bishops and not leaders of the group. That the current superior is a Bishop, is coincidence. Before, it was only priests who were superiors.
In any case, RCC teaching is not easy to find out about these days. It used to pretty clear and concise, but not any more. That 3 successive popes can teach differently to what the church has always taught and that people are willingly blind and convince themselves that "in some mysterious way, the former and the present teaching can be reconciled", is beyond me.
Personally, I am currently taking (and suffering) the consequences of that and to my horror I have discovered that maybe changing doctrines isn't a new thing with the Catholic church. It is just that this change is somehow much more radical.
After many years as a convinced and devout traditionalist Catholic, I am having serious doubts about the whole thing and from the looks of it on this forum, I am not the only one.
Modernist Popes, extremely rampant Liberalism and Modernism, man-made and concocted liturgy created to be doctrinally pleasant for Protestants, Pope asking St. John the Baptist to bless Islam, Pope receiving animist blessings in Benin, Popes having ecumenist meetings in Assisi and praying with all sorts of pagans, Jews and heretics while cuddling up to the ADL.
and the only piece of liturgy which at least has connection to the past, the traditional Latin Mass, was effectively banned for 50 years and is now "the extraordinary form".
They are discussing how they can "merge" the bogus disorder liturgy and the 1962-TLM and create some hybrid out of it...Nothing is sacred for them.
The SSPX is fighting heroically, but it is the fight of the Samurai against the Emperor in "The Last Samurai", if you remember that film.
Unless something drastic happens, I seriously doubt the SSPX as a whole would go Orthodox. However, individual layfolk or priests might, but not too many. Papist and Monk Vasyl are probably right.
Regarding the communion-thing... They ARE in communion. They are not excommunicated.