I disagree. Nazism was not ideologically anti-Christian. The instances that you mentioned were the result of power struggles between the Nazis and the churches. It wasn't motivated by an anti-Christian ideology.
To say that Nazism was just as anti-Christian as Communism just flies in the face of all facts. It was Communists that exterminated tens of millions of Christians. It was Communists that razed churches and turned them into museums of atheism.
"I agree that current liberal democracy is as manifestly anti-Christian as Nazism was in WWII. It's just that our system gives us the opportunity to resist those trends politically. In Nazi Germany, the people with real power supported those trends, which would only have gotten much worse if those people had held power, and there was no possiblity of resisting them politically. Yes, they could be resisted bureaucratically, but bureaucratic resistance in general is just a holding action."
I can gurantee you that the American establishment will continue to get more and more anti-Christian as time goes on, not less. Christianity is already dead in this country. I can already see it. 50 years from now the churches in the USA will be like Unitarian churches are today, they will preach abortion, and all the leftist abominations.
They were anti-Christian but in a different way. Stalin, Kaganovitch and their associates simply killed Christians and blew up churches. The Nazis were molding Christianity into something very un-Christian and gradually replacing that with a teutonic paganism. Unless you were a resisting Christian such as Boenhoeffer, you survived in Nazi Germany. In the Soviet Union, you stood little chance of staying alive.