>You don't have to prove a "conspiracy" among the participants every time you apprehend a trend among a given population group for the trend to be true in a heuristic sense.
Sure you do. Listing facts like these is only done because it comes with implicit accusations about intent and/or genetic flaws. Also, ad hominem though it may be, I am 99% certain you support Hitler and sing his praises on places like /pol/.
It is true that many of the initial leaders in the Bolshevik movement were Jewish and the Cheka had heavy Jewish representation for a while (though this was greatly reduced under Stalin). However, presenting those facts alone does not convey the full picture. For example, the fact that many Jews were killed by the Bolsheviks, sometimes by ethnic Russiand and sometimes by other ethnic Jews. Or that pretty much none of the Jewish founders identified with Judaism ethnically or religiously and refused to abide by Jewish traditions, instead favoring a secular united philosophy with the rest of the country).
The only reason to present those facts as you have is to imply either some sort of conspiracy, or some sort of inherent moral failing within all Jews which the Nazis justifiably "defended themselves" from.
>German Jews during the party's rise were also an inordinately powerful group in German industry, finance, and media.
The German Communist Party had a very low percentage of Jewish membership. The Weimar KPD was only 0.7% Jewish in 1927. At the end of the Weimar republic, only about 1.5% of all officers were Jewish, and only one of the leaders was Jewish (Heinz Neumann). A year later, Hitler gained power, and there were no longer any Jewish leaders of the party.
Judeo-Bolshevism is a myth no matter how you look at it. There is sometimes a disproportionate amount of Jewish representation in certain movements around the world, but these can be explained by factors other than conspiracy.
You could say that Nazism was, in part, a reaction to the spread of communism. But it was an irrational overreaction, and also partly a pretext for Hitler's overall racial and societal ideals. Hitler would have still wanted to implement much of his plans even if communism never existed in the East. He just would have been likely to rise to power.