I find the SSPX assertion that the Vatican II statement that the Muslims “along with us adore the one and merciful God” is incompatible with Catholic teaching, unconvincing. That is a basic statement that they adore the God of Abraham. No, they don’t accept Christ as Messiah and they reject the Trinity. But that statement along with any statement saying we share with the Jews a profound esteem for the God of Abraham, the God of Old Testament knows that after that they go into error about Jesus Christ and the Trinity.
Doesn’t mean I don’t have problems with things sometimes done “in the spirit of Vatican II”.
I don’t think the SSPX are in schism. But I’ve never been to one of their Masses and it is because in my opinion they are pridefully disobedient to the Ordinary. Doesn’t mean I agree with everything the Ordinary does. I don’t think everything in “Fiducia Supplicans” or “Amoris Latitia” will stand the test of time as authentic Magisterium. A man in the SSPX tried to recruit me in during the days of John Paul and I told him I wasn’t interested. If I had no other option for Mass around, I’d probably go to an SSPX Mass. But my parish has a Latin Mass in communion with the Archbishop. I would go to an FSSP Mass also. But I’ve never been comfortable with a know-it-all, am never wrong, pridefully disobedient and merciless spirit that I have run into in some members of the SSPX I have known a bit.
I have been watching some videos on YouTube of “misshappycatholic”. She is a very conservative Latin Mass Catholic. In her videos she interviews people and discusses the significant abuse and errors within the SSPX. She is saying what my gut has been telling me for years.
And the muslims will be the first to tell you that they do not worship the God of Christians.
Why do you think they call us "infidels"?
Lumen Gentium is not something done "in the spirit of Vatican II".
Lumen Gentium is an actual, heretical document of VC II.