Luther’s hateful and inexcusable screed against the Jews was never church dogma. That document was even suppressed over the years by various German governments until the Nazis took over. Probably most Germans never read the hateful document until the Nazis dug it up.
The Nazis wanted to remove all Jewish elements from the New Testament and they taught that Jesus was an ordinary man and his father was a Roman (probably germanic) soldier.
There were many Catholics in the Nazi leadership. It is true that the Nazi Party was less popular and more resisted in Catholic parts of Germany.
The Danes, mostly Lutheran, almost to a person resisted the Nazis and protected Jews.
Hitler hated all churches, Catholic, Lutheran, or whatever.
Nobody at the higher levels of the leadership was a practicing Christian in any traditional sense. Hitler, Goebbels, and Himmler were raised Catholic, but were non-practicing by early adulthood. Himmler was openly neopagan as an adult. I think Goebbels mostly worshipped Hitler. Goering was raised Lutheran.
The man who tried to kill Hitler, Claus von Stauffenberg, was a Catholic. There is evidence that he was working both with British intelligence and with the Vatican.
“The Mohammedan religion would have been much more compatible to us than Christianity. Why did it have to be Christianity with its meekness and flabbiness?” Had Charles Martel not been victorious at Poitiers — already, you see, the world had fallen into the hands of the Jews, so gutless a thing was Christianity ! — then we should in all probability have been converted to Mohammedanism, that cult which glorifies heroism and which opens the seventh Heaven to the bold warrior alone. Then the Germanic races would have conquered the world. Christianity alone prevented them from doing so.”
Hitler to Albert Speer