Frankly, Nazism is also not an exclusively anti-Jewish construct. They were also strongly opposed to the racial identities of the Roma, Poles, and Russians (and killed millions of them during the Holocaust as well), as well as the political ideology of communists.

Nazism was anticommunist by ideology and antisemitic by policy. There was a strong (and misguided) belief at the time that Jews were responsible for the Russian communist revolution and that Jewish communists would come to spread communism. There was a strong (and misguided) belief at the time that Slavs (Russians, Poles, ...) were communists by nature and would come to spread communism. There was also (misguided) belief at the time that the Roma would benefit from communism at the detriment of everyone else. The first concentration camps were used to imprison and execute communists.