Is there a word for "playing the race card?" Because that drives me nuts.

If not, can we please make one. Racifying? Cochranification?

-MIT dictionary server

Just to clarify; are we talking about when a person responds to a perfectly reasonable request or set of conditions with “You’re doing this to me because I’m [race], aren’t you?
?

How about “racism?”

Yes, but particulary to deflect attention from more appropriate arguments in a legal or political arena.