SSPX will not accept Vatican II.
Doh! That was pretty much the point of the schism in the first place - no matter what kind of spin their defenders want to put on it.
The Society of Saint Pius X whose ultratraditionalist bishops were recently rehabilitated by Pope Benedict XVI will not accept the reforms introduced by the Second Vatican Council, the head of the order has told a Swiss paper. - Source
Yet the majority of the World's Roman Catholics accept the reforms of Vatican II.