Now you are arguing two different things:
1.That the Nazi "Movement" (National Socialists) was "invented" by the Illuminati
and 2.That Communism as an Ideology dates back to the French Revolution.
Neither of these arguments explain the fact that this supposed "Pike's Letter" listed NAZISM by NAME, 50 years before it was even founded (created/named/whatever). Also, Communism was at odds with "Socialist" governments, including Nazi Germany (one of the reasons Russia was their enemy in WW2).

