Except for the "woke," right?
It's a good point.
Identity politics is usually used to categorize people by immutable characteristics like skin color, sex, nationality - things a person cannot change. But sometimes it's used to categorize people according to what they believe, like left-wing or right-wing.
I would say that crude categories are mostly useless (and often harmful), but that finer grained categories are essential. For example, anyone can be pro-choice (hooray). Maybe left leaning people are statistically more likely to be pro-choice, but millions and millions of conservatives are also pro-choice. So to me pro-choice vs, not-pro-choice is a useful category, where-as lefty vs conservative is cruder and less useful, perhaps even counter-productive.
OTOH, there seems to be a collection of IDEAS that some people agree with that I'm calling "woke" ideas. (And again, I'm not attached to the term "woke", I'm happy to switch to a different term if anyone knows what it should be.)
To me, "woke" is broader than a single idea like pro-choice, but it's no where near as broad as left-wing vs. right-wing. I do think that many ideas that I'd put under the "woke" category have similar underlying axioms, and to me that strengthens the idea that it's a useful category. And of course, a person could very well believe in some of these "woke" ideas but not all of them.