It depends on how woke is being used.
Woke: being aware of injustices and trying to make things better, understanding different perspectives
Vs
Woke: identity politics or student politics driven by fringe groups, yelling "no debate", shutting down discussions with accusations of bigotry, trying to censor people who don't agree with them, think that hearing political speakers with different views is a threat to their existence etc.
I'd say a lot of people fall into the first camp, but wouldn't necessarily describe themselves as woke.
Not many people fall into the second camp, but those that do seem to make a lot of noise and spend a lot of time focusing on how they're the good guys.
There'll be some people who are ignorant and bigoted (eg shouting "it's Adam and Eve, not Adam and Steve hahaha" or "actually all lives matter") so will criticise the first group, but most of the things I've read across the political spectrum most criticisms of "woke" seem to be aimed at the second group. I'm not sure what the opposite of woke is for that situation.