#1. The Catholic Church had nothing to do with the origin of "liberation theology", although some of the catholic clergy were involved.
Liberation theology is Marxist. I spent months in Italy in 1956. At that time communists were telling their members to go to Catholic Churches and Masses to make catholics believe it was alright to become Marxists, which is atheistic. Liberation theology evidently sprang from that beginning to do the same thing with the Catholics of Central America, especially in San Salvador.