I'm not sure why people think furries want to actually have sex with actual animals. If any do, they're the minority.
Anyway, I don't really care about them. I ignore them, they ignore me. Nothing is being crammed down my throat because if something furry is going on in some thread, I'm not interested in looking at it.
What I do dislike, though, is how everything that looks like a human with some animal characteristics (catgirl, Na'vi, whatever) is immediately shunned as being "omg, furry!!! Get it out of here, perv! WHY DO YOU WANT TO HAVE SEX WITH ANIMALS?!"
I happen to think catgirls are neat when they're done well (which they rarely are). I like the idea of creatures that are basically humans who are in touch with their feral roots, who have better senses of smell, hearing, and balance, and who are more graceful than the average human. They're just cool. People don't say satyrs, mermaids, and Egyptian gods are furry, and I would put them into the same category.
The internet just seems to have a tendency to dislike everything that could possibly be associated with something they already dislike.