They are (or were throughout the 2010s), but they have a way of talking about it where they do it, but then claim it doesn't exist if anyone tries to give a name to it. So "wokeness isn't real" is a popular way to say "wokeness is real and I think it's good". Sometimes this is called Voldemorting.
I personally think it's good but also think it's real.
More thoroughly:
* The online left was using terms like "social justice warrior" to describe themselves in the late 2000s/early 2010s. Some of them even used alternate terms to try and fit their kind of activism closer, one I remember being "social justice paladin".
* The first big round of backlash turned SJW into an insult in the mid 2010s, so they rebranded themselves as "woke".
* As the backlash grew, "woke" was also turned into an insult.
* DEI was the most recent rebranding, but since that describes actions instead of the people doing the actions there wasn't really a way to turn it directly into an insult, and "progressive" isn't zing-y enough to catch on, so "woke" stuck.
No, you do not. I know this because when I advocate for actually not being racist, members of your group call me racist for it.
I am the one who seeks policies that do not take a person's race into consideration when making decisions where race is clearly a priori irrelevant. That is what it means not to be racist.
Your group is the one that insists that doing so is necessary to achieve a moral outcome.