Hey, wasn't donkey milk Cleopatra's special beauty secret? I think she took baths in donkey milk. To answer your question, yeah, I'd drink it up, I might get the best skin on Earth, or something. Just don't ask me do milk the donkey.
No, I'm one of those people who are grossed out by anything out of the norm. I even have trouble eating eggs when I know the chicken. It isn't about the taste for me, but the idea of where it came from - I realize that is not necessarily a reasonable attitude but it is there nonetheless.