The Communists were, as ever, absolutist totalitarians; the Nazis were surely strongly authoritarian, but not quite totalitarian. Religions, for example (except Judaism, of course), were neither banned outright nor particularly persecuted, save when a cleric would speak out against Nazism.On the contrary many Christians could and did find themselves interned very quickly for teaching out of the old testament, or for teaching of Herod's evil in the Christmas story. Religion was tolerated only as long as they accepted government approved doctrines. Read about Dietrich Bonhoffer, among many, many people whose shortened lives disprove your statement
We're saying the same thing, really. You're just saying it better. Religious persecution,
per se, was not part of Hitlerian doctrine, but any effective doctrinal differences in clerics were absolutely not tolerated.
Hitler's aversion to Old Testament teaching was part and parcel of his infamous anti-Semitism.