While what you say is quite true (except for the idea that the Catholic Church is not unchanging), my statement was that there was a major cultural shift among Catholics in the pews during the 1960's engendered primarily by both Vatican II and the rejection of the Church's teachings regarding birth control.
Despite what you might think, there was an enormous visual change as the high altars were removed from the east wall and altars placed toward the nave so that the priest would say mass facing the people rather than the altar alone. Among traditional Catholics, there was much dissension, which continues to this day even as some favor the Latin Tridentine mass only.
One of the standard refrains from Catholics is that they belong to the Church which Christ Himself founded and which has been unchanging (although it is now frequently modified with the addition if "in matters of faith and morals").