I do not agree with JBP. My view is that JBP does not understand or is dishonest when it comes to political theory. Such statements do not make sense. It is like saying that one is against "social-democratic green-conservatism". Because postmodernism and marxism are each others opposites. Postmodernism was partly a result against marxism and belief in grand and teleological narratives. "Cultural marxism" has its roots in the usage of the term "cultural boljshevism" by the Nazis and was directed towards the members of the Vienna school as Wittgenstein and also Popper in his early age.

One can criticize the shortcomings of postmodernism but one should have better arguments than "Judeo-Christian values" and modernism.
https://reason.com/reasontv/2018/09/26/libertarian-postmodernism-a-reply-to-jor