I dunno. I don't know if it is possible. But it's true that even the most inocuous label can be used for ill. Just saying that a "black man" or a "hispanic" committed a crime instead of a "man" or a "woman" is just asking for uneasy people to build paranoia.
Like I said, the problem won't really go away until the media stops making a big deal about it, and until most people are really exposed to other cultures in a realistic and positive light.
There was a quote somewhere in my English textbook that put it perfectly, although it was in relation to gays, it fits perfectly fine:
"The late wit and arch-queen Quentin Crisp referred to this truism, only half jokingly, as 'liberation through banalization.'"
Basically, only by making other cultures 'ordinary', can they truly be freed from oppression.