Schrodinger's Cat writes:

Religion enters into it only in the sense of a tool to be used.

How do you know that? Your post is full of assertions, but without any actual evidence.

Whatever views he had on any such religious matters were ( deliberately in some respects ) extremely vague and ill defined."

No, in many cases they are fairly well defined and specified.

Religion was a handy tool if it furthered that goal, ...

Again, is this just your conjecture, or do you have evidence supporting the idea that, to Hitler, religion was nothing but a tool? For example, we know that several times, when at private dinner parties with close associates, he would declaim at length of his religious views, giving hour-long monologues expounding his religious ideas. Why would he do that if he didn't actually mean it and regarded religion as nothing but a tool?