That Wikipedia definition is one part only of what the woke movement is. There are not just "alert". They are actively trying to censor, burn books (Tintin in some Canadian school), remove statues, etc. They invent words, have weird ceremonies, etc... (cf. the university of Evergrande), which are indeed the signs of a cult.

And by the way, any cult of group of thoughts, will define themselves as "we are for the good and against the evil; therefore, what exactly do you disagree with ? are you for the evil ?"