Yes, "Wokeness" is Compatible with Libertarianism ...

... just like, and to the same extent as, any other form of bigotry is.

Which is: Until and unless you use it to justify the initiation of force.

And whether "wokeness" or any other form of bigotry is compatible with libertarianism is a different question from whether "woke" bigots or other kinds of bigots are assets to a libertarian movement.