Honestly, I am a bit confused by the phrasing of your question.
The idea of Jews being a race is deeply entrenched within Nazi ideology and in that framework inseparable from the Jewish religion.
While today we do in fact deal with the idea of Jewishness being more than a religious denomination and extending into the territory of what we'd call ethnicity, the Nazis thought of the Jews exclusively as a race, meaning that whether or not you were following the Jewish faith didn't matter much. People like Trotzky, Zinoviev and others were consistently called Jewish by the Nazis despite being as far away from religious as you probably can be.
The relation between the Nazis' conception of the Jewish race and the Jewish religion comes in large parts from the Nazis being unable to find their pseudoscientifical racial markers they believed in and searched for and therefore being left with belonging to the Jewish religion as the only marker for finding out who was Jewish.
The Nuremberg laws are a perfect example for this. Unable to establish any marker aside membership of the Jewish religion for how to recognize Jews, the only way for the Nazis to make up a workable definition was by practicing Jewish faith back to the level of grandparents.
If you are asking if there is anything on the theological level that the Nazis would point to as the reason why they hated Jews, I would say that generally no and if so only a tiny fraction of Nazis would be able to have any serious discourse about the theological characteristics of Judaism.
At the same time, modern racial anti-semtism finds a lot of its basis on religious antimositiy and practice in pre-modern times but generally does not differentiate between race and religion in the case of Jews. In that sense, Hitler wouldn't have understood your question as for him those two things were not something conceptually different.
Sources:
Peter J. Pulzer: The rise of political anti-Semitism in Germany and Austria. J. Wiley, New York 1964.
Amos Elon: The Pity of It All: A History of Jews in Germany, 1743–1933, New York, 2002.
Peter Pulzer: Jews and the German State: The Political History of a Minority, 1848-1933, Oxford 1992.
Lorna Waddington: Hitler's Crusade: Bolshevism and the Myth of the International Jewish Conspiracy, 2007.
Related question - Was antisemitism required for Hitler's power, it could be have taken over the world more easily without the distraction of the holocaust. Not to mention how much easier it would have been with the German Jews on his side. I mean, just Einstein...