What I meant by 'woke' is specifically ideas from postmodernism and critical theory. I had to use the word 'woke' because there was no better simple and appropriate term. It's certainly not liberal, but it you call it leftist, those on the class-based socialist left are going to object. 'Woke' is thus the best term to use that everyone will understand generally.
Note that I am actually calling for people not to be just blindly anti-woke in a reactionary way. The post-woke way is to understand the mistakes of wokeness and move past it in a meaningful way.