I don't mean to be rude, but I hope this isn't like the "Charge your iPod with an orange" video on YouTube that caused numerous people to ruin their iPods. The video was just a hoax.
Logically, I don't see how this could possibly work out. Even on a delicate cycle, your sheepskin Uggs are being twirled around and around. I can't see that ending up well, not to mention that (a) they'll probably dry stiff (b) they'll take forever to dry.
Of course, try this at your own peril. Common sense tells me this is a bad idea.