Political correctness is different from (and in some ways more malignant than) classical Marxism. PC was created by the Frankfurt School and their disciples in the mid 20th century. The Frankfurt School "intellectuals" fused Marxist pseudo-economics with Freudian mumbo-jumbo and later incorporated various racial and sexual identity politics. That's why Bernie Sanders, with his emphasis on class warfare, can't break 15% in any Democrat primary polls. He harks back to classical Marxist that's now passe among the race and sex-focused "woke" types.
PC is social and cultural Marxism.