I've read quite a bit about the period without encountering a single reference to Hitler's so-called Catholicism. I have read many references to his hostility to religion. He regarded people essentially as animals in a struggle for existence. Very Darwinian and not at all Christian. To Hitler, the idea of human beings having 'souls' would have been laughable.
Most Germans of the time were Christians, and the Nazis, being smart operators, weren't about to publicly alienate them. The God invocations are just standard political cant. Having God on your side is useful if many of your people are believers. (It was the bloody-handed Pagan gods of Germanic mythology that inspired the Nazis). Nazi ideology, beliefs and practice were anti-Christian in the most fundamental way. This was recognized by the Church - they had no illusions about where they stood with Hitler. (This isn't to say that there weren't German clerics who supported the Nazis. But it was in spite of their religion, not because of it).