There is no "movement" .. "there is no woke culture" except in the vast empty spaces of paranoid brains who watch and read entertainment propaganda and that are so witless they parrot cliché' propaganda phrases.
You DMFs want a leftist version of MAGA so badly that you're making shit up .. again.
Woke is used to describe any group or ideology conservatives are against and most of them are only related in that they are not conservative movements. That is not a culture or a movement... *eyeroll*
You could simply use progressive but that doesn't evoke the correct image .. does it. too Lily-white and mainstream. Certainly not scary enough for the paranoid conservative.
To be "woke" all one needs to do is be black or any other POC, or anti racist (which is the most common usage) or have sex in a manner you disagree with, or believe in climate change, or not eat meat, or wanting more solar panels, or wanting gun control ...
It's f*cking stupid ..