Well that's the problem. The woke (remember the label started as a self-denominator, it wasn't given by opponents, just made into a parody) are the most intolerant group of people.
They hold radically hateful views of those who disagree with them and don't contemplate the idea of just let everyone be and do whatever the hell they want as long as they don't harm others. The excuse of course is that "being" a certain way is already an offense and an attack on them, so there's no escape from the hate.
I argue that in the end they are the other side of the coin of their Evangelical parents. They've been raised in an equally intolerant environment, and they react against it, but with the same mindset.