[jessaustin]

Leftists, following Marx, have material concerns. They DGAF about video games or pronouns. Perhaps "progressives" is the word to use, because there certainly is a noisy group of identity politicians who have sold what little dignity they once possessed to Capital, and we do need something to call them. Selling one's dignity to capitalists and war pigs is not a leftist thing to do, so they certainly aren't "far left".

[phpisthebest]

you are correct in that they are a distinct group, however even if they are "selling out to capital" which I don't think they are, they are still very much Authoritarian Socially, and "left" Economically

So while they "Cultural Marxists" or Identity Marxists as they call themselves, may be different from your preferred economic marxism, they are still IMO part of the "far left Authoritarian" quadrant of say the political compass

[jessaustin]

Does anyone call herself an "Identity Marxist"? I suspect actual cultural Marxists like Lukács, Gramsci, Benjamin, or Hall would be quite interested in studying the phenomenon of applying that label to people who have never considered the ownership of the means of production.

This is a problem with this whole line of thinking. We should be able to criticize identity politics as it is, for its excess and harmful effects. (Likewise, we should be able to praise it, for any praiseworthy qualities it might be observed to have.) Shoehorning in an association with Marxism is either a rhetorical crutch or a baseless slur. Marxism isn't a synonym for "bad"; it is a particular school of criticism.

I might be able to live with the term "Identity Stalinists"...