[NYer]

The four Society bishops are of one mind in holding that on the one hand the Second Vatican Council imperiled the dogma of the Faith, but on the other hand the authorities of the official Church are to be respected as such; that the rescue of the Catholic Church depends on their returning to the positions of Catholic Tradition, and so the Society must do all it can to help along such a return

Not sure precisely what Williamson intends by 'Catholic Tradition' since it is not spelled out in this email. However, it is not surprising to see rifts within the "Traditionalists". Once separated from the Magisterium, groups must rely upon their own understandings and formulations.

The "Traditionalists" who do not return will fracture like other catholic dissident groups that refused to recognize Vatican Council I, etc. Christ remains with His Church; that is His promise, not man's.