It is strange how this interview is currently used. Clearly Bezmenov alleges that the subversion tactics were promoting original left-wing causes since the 1960s: He cites Hippie culture, pilgrimages to India, cultural marxism, etc. Basically everything that Reagan did not like. Now the ruling party are Democrats, and apparently the same interview is used to prove current Russian disinformation, i.e. (alleged) right…
"cultural marxism" is a far right antisemitic conspiracy theory that you're referencing (and as a brand new account with one comment)
The Frankfurt School was real, not a "conspiracy theory". "Cultural Marxism" was originally used to refer to the Frankfurt School and its intellectual heirs by (left-leaning) academic Trent Schroyer, in his 1973 book The Origins and Development of Critical Theory – long before the term had any currency on the right. And they really have been a significant influence on left-of-centre academia in the humanities and social sciences, which in turn has been a real influence on the broader culture (especially at the somewhat elite level of establishment journalism, NGOs, etc)
Do a lot of people on the right overstate and exaggerate that influence, or offer overly simplistic accounts of it? Yep. But, this "it's a conspiracy theory" meme seems to be responding to that with its exact opposite, intentional understatement and denial.
And "far right antisemitic" seems to be an exercise in guilt-by-association: Are some people who talk about this far-right or antisemitic? Yes. Are they all? No. Is the idea in itself (however true or false it may be), that "the Frankfurt School has had an outsized influence on contemporary progressivism", inherently "far right" or antisemitic? No.
That's not to say I like all this "cultural Marxism" talk – I hate how it treats "Marxism" as a dirty word. It's so cringeworthy when right-wingers (Americans seem especially prone to it) do that. That's not to say I agree with Marxism, or deny that in practice it has caused a lot of mayhem, suffering, evil. But I'd much rather listen to the kind of right-wingers who can see the good in Marxism, even the common ground people on the political right can find with Marxists – I think Compact magazine is a good example of this, which started when two conservative Catholics and a Marxist got together to talk about what they had in common, and ended up founding a magazine to continue that conversation.
But to me, "cultural Marxism is a far right antisemitic conspiracy theory" ends up coming across as just as much a brain-dead talking point as "cultural Marxism" itself so often is.