Abolishing private ownership of the means of production is https://en.wikipedia.org/wiki/Socialism, so I don’t know who would consider it an “amalgam of both right and left” 😂
Unlike in the UK where Jews were considered second-class citizens, or in Nazi Germany where they were being ethnically cleaned & genocided, the Soviet Union had Jews among the Communist party ranks, including the politburo. There were Jewish Bolsheviks in the Communist revolution, so they’d been there from the start.