What has any of this got to do with what the term actually means ? the term has only become massively popular within mainstream society in the last year or two because its become the new buzz word to mock people who complain about racial/social injustice. It's just the new 'SJW', a lazy critique that conservatives can chuck at anyone to try and devalue their argument/position.
Sure there are some extreme people on twitter who perhaps identify as 'woke' and have the mindset you describe with regard to 'if you're not with us, you're against us' but it's not evidence of some massive movement that is causing huge harm to society, it's a load of overhyped bollocks that shouldn't be getting anywhere near the level of attention it gets relative to far more important issues.
There's a reason cancel culture/wokism has become the number 1 focus for the GOP despite it effecting a miniscule percentage of the population relative to real issues.
I think you undervalue the impact it has. Massively so in fact. These are increasingly organised, very extremist movements in several areas of life.
And I was describing exactly what you said - you say the original meaning remains valid; it doesn't. It has been, justifiably, corrupted.
