Remarkable observation. If I had read this statement and didn't know who had said it, I'd have sworn it was from Aleksandr Solzhenitsyn.
That description could rightly be applied to Lenin and Stalin and Mao, and is a part of communist ideology.
Hitler may have personally been an atheist but he tired to co-opt the Christian churches in Germany, not ban them. The Nazi party was not officially atheist, as the Communist Party (pretty much all of them) were.