An astute observation. The National Socialist were socialist, describing themselves on occasion as "Aryan socialists" to make distinction with the Communists of that time, who professed in socialism also, but irritated the National Socialists who saw them as "Jewish socialists" for the citing of Marx -- who was NOT a Jew, but rather had rejected his family's history in favor of atheism.
Your observation also jives with the Italian Fascists, allies of the National Socialists in WWII, who used "corrupt big crony corporations and media for their base."
Today's under-educated, mis-educated youth think these allies were somehow not allies, because "socialism" will work the next time. But it is Obam-Biden fascism that is showing itself in the US now, with its "corrupt big crony corporations and media" as their base, their goal being to acquire power and wealth for themselves and their political allies.
This is a reason both Trump and RFK Jr. scare them. So much at stake for the corrupt that a next level of corruption may be anticipated.
The history I recall is that Marx's father was ethnically Jewish and had been practicing Judaism before he converted to Christianity. Don't recall if his mother was ethnically Jewish. But, yes, Karl Marx rejected Judeo-Christianity.