As the citation says, it was one of the main beliefs that justified the invasion and the Holocaust. Even if Jewish Bolshevism wasn't a thing (which could happen, if Jews didn't get better representation in the USSR in comparison to the Empire), Nazis would still commit the holocaust, invade the USSR, and, most importantly, still exist, thus, it can't be called a key pillar of Nazism. It's more accurately described as a key pillar of Nazi propaganda, supported here:

> Michael Kellogg in his Ph.D. thesis argued that the racist ideology of Nazis was to a significant extent influenced by White émigrés in Germany, [...]

p.s. Kellogg is mentioned below to argue that this was the origin of Hitler's antisemitism, but that is contested, and there's plenty of evidence of Hitler antisemitism from early on. Still, Jewish Bolshevism is well accepted as a key propaganda element.

Moving to the second point, I don't see how your citation address it. "Cultural Marxism" is primarily spoken without referring to religion. Unlike Cultural Bolshevism, there's no modern equivalent to Jewish Bolshevism, and, as I stated previously, the ones who primarily talk about Cultural Marxism don't even mention religion, and if they do, they often treat Judaism and Christianity as if they are in the same boat. If anything, the closest religious scapegoats would be Muslims, but they aren't treated as "masterminds". Don't even get started on race (which is what Nazis actually cared about).