I would add, "woke" is not necessarily a negative label, and indeed was originally used most commonly in a positive sense intended to describe people who were awake to the reality of the world. It's only more recently come to be used a pejorative mocking the original usage.
So the opposite of the reclaimed slur someone mentioned.
I wouldn’t even say it’s all pejorative mockery. Setting aside the negative connotation, I think we all know what ideas and movements the term “woke” refers to, and the people on that side of the discussion haven’t, to my knowledge, agreed to any other nomenclature they would prefer, which means the only people using the term are the ones criticizing the underlying group of ideas and movements, which is where the negative connotation comes from. (And then some of those critics unfairly overgeneralize, similarly with the term “socialist”.)
I guess "radical" would have been a better choice of terminology than "woke-leftist", but really you're looking at very similar communities that share an ideological heritage and who tend to complain about any terminology people use for them. The term "woke" is new but the basic ideology goes back to 70's radicals as well.