"I feel obliged to point out that any Christian support for the Nazis out of anti-Communism was fundamentally mistaken. Nazism was as anti-Christian as Communism, implicitly, and that implicit hostility was already becoming apparent in World War II, and would have become an obvious reality had Germany won the war."
How so? It was the Communists, not the Nazis that razed churches to the ground and imposed atheism. The Pope approved the Nazi invasion of the atheistic USSR and refused to declare the Allied war on Germany a "just war". To this day there is massive persecution of Christianity in the Liberal Democracies, such as the USA.
It was starting to happen in Germany too. The Nazi administrators had tried to remove crucifixes in Bavarian classrooms, Goebbels's press was accusing the Catholic clergy of currency crimes and sexual abuse of minors already before the war, and we have quotes from Hitler indicating he intended to go after the churches after the war.