I'll correct you. That is wrong. "Racist" is a negative term. If it meant "classifying people based on race," then the word loses all meaning unless you are completely blind and never notice any of the physical or social characteristics that tend to cluster in human beings.

Historically, people who defend the status quo have tried to broaden the word as much as possible, because one way to "win a debate on the Internet" is to move the goal posts. e.g. If Alice brings up a subject about racism that Bob finds uncomfortable, he asks her if she considers herself Black. When she says "yes," Bob accuses her of being a racist. Alice now spends a frustrating hour debating the meaning of the word "racist" and Bob has neatly eased out of discussing her original disquiet.