They at least subscribe to the leftist version of identity politics, which has admittedly become very mainstream, but is still the number one rallying point of the left today.
Many people would consider the "leftist version of identity politics" to be an oxymoron.
Would you say that only the right is engaging in "identity politcs"?
As others have mentioned in this thread, "right" and "left" are all relative. From my point of view, a neoliberal like Biden is right-of-center by any reasonable definition of "right" and "left", but obviously that varies person-to-person. My point is that most of the people on the far left tend to dislike identity politics since it's such an effective distraction from real economic issues.