All of that is questionably relevant. I don't see how matrilineal inheritance of an ethnic identity makes one any more or less a "race" than patrilineal inheritance would, and its beside the point anyway. I am asking you, why did the Nazi Party hate and fear Jews? Why Jews, particularly? I know that you know why, and that it has nothing to do with biology.
Aright, we're getting somewhere with this, I can work with this.
Nazis hated jews because... drumroll please... they were a conveniently affluent and identifiable group of people that didn't conform to the social rules that nazis wanted to impose. At least some of that has a religious history, of course. But certainly not all of it. Under christian rule (you know, when large portions of europe were actually governed by the vatican through royalty-as-proxies?) jews were prohibited from many social roles, but they were NOT prohibited from moneylending and trading. Throughout many periods of history, jews were more economically successful within their diaspora countries. Partly due to their involvement in finance, but also do to the highly jewish community focused nature of their religion.
Are you under the impression that I think religious history has no impact on social structures? That would be dumb, and I'm not dumb.
Now then. If you take as given that the historical christianity of germany was a fundamental and unavoidable primary influence of naziism, then you're effectively taking the stance that any other reason that the nazi party provided for their actions were made up justifications, and that their true and real reason was religious dominance.
By that same token, you'd end up having to conclude that the bolshevik revolution was a christian uprising, and that the imposition of a secular state was just window-dressing for a fundamentally christian religious war.
And you'd also have to conclude that every aggressive action taken on the part of any muslim-dominated nation or organization is ALSO inescapably an attempt to impose islam by force on the rest of the world. Therefore, islam as a religion is a threat to all people who aren't islamic.