Your impression is correct. OP's fallen into the classic trap of equating the American "left" (which isn't left at all) with socialism, and that with the USSR.

Your impression is correct. OP's fallen into the classic trap of equating the American "left" (which isn't left at all) with socialism, and that with the USSR. It's all nonsense free association of "things conservatives dislike", from the same mine that yielded gems like "cultural Marxism" (another nonsense).