Worrying about whether the Wokesters are actually left or right is like worrying about whether people like Ted Bundy, Jeffry Dahmer, and Hannibal Lecter are Republicans or Democrats.
Except that the false dichotomy between Nazism and Communism is used to divide and compel people to associate more with one than the other. Just because Nazi Germany and the USSR had a falling out called WWII does not mean one was Right Wing and one was Left Wing. And we don’t have to “pick a side” as it is implied we should do. It was more of a “domestic disturbance!” Both are Left Wing and models for our current Democrat régime.