Saying you are "unwoke" is simply turning a blind eye to the treatment of people around you.
“The only thing necessary for the triumph of evil is for good men to do nothing.” ― Edmund Burke
But I don't think it has much to do with being woke or not. We always had and will always have people that challenge the status quo of society and those that oppose a change.
Change is neither inherently good or bad and not every single initiative, argument and action within an movement is well tough out or helpful.
Event tough better political discourse and less shouting would help, I think in the end it is pretty much unavoidable that at times "the baby gets thrown out with the bathwater"
Or perhaps they do care, but don't think that social or political issues intersect with workplace issues.
The same quote could be used in reverse. Some of us think this whole woke crap is evil. So yeah, #ImOut.
The only thing necessary for the triumph of good men is for "this woke crap" to do nothing.
But for individuals, I think it is still an OK choice to make to not work for companies they personally consider evil.
For example, your coworkers are not obligated to share your moral beliefs, convictions, or political opinions of current events. Making a workplace inherently confrontational in regards to these subjective, private opinions is seriously harmful.
I am 100% for your participation in activism, protests, and social reform. Just don’t bring it to work.
If you think such an attitude is somehow tacitly entrenching the status quo, you need to step back and consider that you, not the other person keeping politics out of work, are being bigoted and narrow-minded towards them, not the other way around.