Whether this characterization of the article is fair or those beliefs about the world are true are both reasonable questions worthy of consideration.
Anyone looking for a little information on the origins of the term "Cultural Marxism" should take a look at the wiki entry for the Frankfurt School, under the subheading "Conspiracy Theory".
A funny thing about the more general critique of oppressor/victim narratives is that Nietzsche had a very similar critique, alleging that the pervasiveness of such narratives (which he called "slave morality") had weakened society. But he didn't blame Marxism for it— he blamed Christianity.
Class is not a minor outcome of a social moment. It is not a mere symbol that can be quickly turned on or off by a culture, the way a culture might shift from enjoying boxing to preferring mixed martial arts.
Class has arisen as an essential structure in the reproduction of society since the dissolution of European fuedalism. The same business logic that produces all our material wants, from coats to bushels, comes hand in hand with the logic that every business must give the profit (surplus labor) back to capital. Culture is a material basis, but class is the overdetermining superstructure.
Shifting from a class based society to a classless one would require a fundamental shift in the economic relations where workers would own the means of production. This shift would tear apart the material basis of our culture. MTV/Viacom, MSNBC/Fox/CNN, RCA/TicketMaster/C3, WaPo/NYT/WSJ, TWTR/Facebook/Google: all of these cultural production centers would shatter into cultural microcosms if the workers at these firms weren't bound to profit maximization.
On the other hand, it is trivial to manufacture new cultures without a whiff of change to class.
http://www.academia.org/the-origins-of-political-correctness...
Without knowing anything else about the author, this byline does give a bit of a left-wing impression.