This is really just the problem that anyone anti-racist or anti-sexist (but especially us folks in fandom) constantly faces; you find ways to enjoy offensive pop culture, since the alternative is giving up pop culture altogether.

This problem is not unique to dealing with popular culture. Here are a few bigots (and maybe worse) who are recognized as masters of the so-called “high art” they practiced: T. S. Eliot, Ezra Pound, Philip Larkin, Wagner, e. e. cummings; and their bigotry often found its way, sometimes subtly sometimes not so, into their art. Most recently, there was a big controversy in the poetry scene over this situation involving John Hollander. And if you can’t get the article at the Times, you can also read the text of the article here.