this is pretty contentious, and based on your definition of "woke", which is a pretty vague word with unhelpful connotations

a less mocking term would be "modern progressivism", which I would summarise as being something like thinking that you can be subconsciously prejudiced against a particular identity and that this is almost or entirely as bad as consciously being so

this conflation is a huge problem. sure, subconscious bias exists. it would be weird if it didn't. and yes it's a problem. but acting like its just as bad as conscious bias basically signals to people who may have a bias here or there might as well be loud and proud about it because you'll treat them the same either way

but in terms of the general population, I think that modern progressives are probably a similar size segment of society as the rabid conservatives, but because that segment contains most of the prominent voices in non-conservative-focused media, a majority of people just nod along or ignore it