Williamson And The SSPX

A reader writes:

I was a seminarian at the Econe, Switzerland seminary of the Society of St. Pius X (SSPX) in the late 1970s.  Richard Williamson was my spiritual director and confessor.  He is a very refined and cultured man in a very British way.  He plays Beethoven beautifully on the piano.  But his political and religious views are very rigid and extreme.  He claims to be a defender of THE TRUTH.  I cannot see him recanting in any sincere way.  He rejects Vatican II and the Novus Ordo Missae and sees the Council and the New Mass as the subversive products of a conspiracy of liberalism, modernism, Freemasonry, and Judaism in the Church. 
The central tenets of Catholic traditionalism are:
  • Antisemitism
  • Rejection of Vatican II
  • Rejection of the Novus Ordo Missae
  • The Catholic Church is the only true church. No salvation outside the Catholic Church.
I do not see how Williamson or the SSPX can be reconciled with the Church.

But they have been reconciled to this Pope. Is it not relevant to ask why?