The above quote notwithstanding, I do not think that Hitler was motivated by religious fervour. He had other reasons for his pogrom. The fact that someone can use religion to in some way give a spurious 'authority' to their actions, does not make it a religious war.
Blair is Catholic (although at the time of the Iraq invasion he masqueraded as some sort of generic 'Christian') but that does not mean that his use of British troops in Iraq was a religious war in the sense in which you are using the term. There were other agenda, and I am convinced more detail will emerge in the fullness of time.