Noted anti-racist writer (and decidedly white white-guy) Tim Wise has an excellent piece about the myth of “reverse racism”, and I encourage you to read the whole thing. My favorite paragraph, though, is this one:
Does making fun of anyone, ever, make you a great person? No. (And I don’t claim to be a great person. Comedy often hurts someone’s feelings.) But making fun of men, white people, able-bodied people, straight people, etc is simply not the same as someone from those groups making fun of a minority. It really isn’t.