Who wins with this? No one wins, no one has anything to gain. It's just venting and only breeds resentment. People turn this in to a "I'm oppressed more! No I'm oppressed more!" contest. That leads to nothing good. Accepting that racism exists, is bad, and should be addressed _and_ opposing this kind of stuff are not mutually exclusive. I think it's entirely consistent with the values of treating people as individuals.
When all messaging is race-focused and people are constantly antagonizing against a certain group, then don't be surprised if people, especially lesser advantaged ones, will feel left out, and that's not even all that unreasonable.
You don't empower a group of people by kicking at another of people group.
People talk about "white privilege" as if that's somehow a problem. It's not; it's how everyone should be treated. That this doesn't happen is horrible, but I resent this usage of "white privilege" that almost tries to to guilt me for being treated with decency, or is being used to dismiss the very real problems and challenges people of all backgrounds are facing (including white people).