I first saw “woke” used in a positive way to describe sheeple that are finally starting to become aware of the game the left is playing. Another term for it is “red-pilled”.
As far as I know the term began with the Left, with the race ideology of the Left. Among those advocating the perpetual victimhood of the non-whites (blacks in particular) in particular.
That said I have noticed people who subscribe to the exact same race theory that predates the term, which has been constant in its main features since well before the KKK but is simply directed differently by different groups a different times.
Unless someone agrees with the underlying racist ideology, essentially that people can and should be judged by the color of their skin etc, I would discourage using the term woke because it seems to come with a crapload of bad baggage that “red-pilling” simply does not have.