The whole movement runs on heavily curated, isolated spaces with a strict hierarchy. It crumbles completely if people are allowed to disagree with the bluebloods and reject their authority. That's why so many tenets of their faith straight out forbid the commoners from any sort of assertive behavior. Your feelings and needs are unimportant because it's merely your privilege or internalized bigotry speaking through you. You can't express a different opinion because it reinforces the norms of a bigoted society. You can't ask the other person to explain their poorly articulated thoughts; that's asking them for emotional labor. You can't question someone else's experiences; that's violence (but they can and will question yours).

It used to be hard to set up such a space because people naturally didn't want to be in them. Left-wing political organizations which did it would quickly splinter and turn into a bunch of people who could fit on one sofa. Identity politics thrived in universities because those already are quite hierarchical places where your career depends on someone else's whim. But it's the blogs and then the social media that were game-changers.

Facebook, Reddit, or Twitter are pretty much feudal kingdoms with a bunch of fiefs where the word of the ruler is absolute. Piss off the baron, and he'll banish you from his court. Piss off the king, and he'll take your county away and banish you from the kingdom. This is the perfect environment for identity politics to thrive.