That makes more sense than applying it to the nutcases on the alt.right.
As far as I'm concerned, "woke" is just another name for a more militant brand of leftist political correctness, i.e. an ideology that gives groups of people who are allegedly in need of "protection" due to their racial/ethnic/sexual identity special privileges (even when they're criminals). Obviously, the alt.right doesn't do this, though they often advocate other ridiculous things.