Your Friendly Neighborhood Dino Therapist
My advice for those who are having to deal with those people who are misinformed by the most negative of stereotypes and aspects of the furry fandom, is to compare it to whatever group/hobby/etc. that they associate with.
Excellent. I will usually compare furries to other geek fandoms, especially anime and general sci fi.
The anime comparison can be especially helpful, because if someone tries to claim that the existence of furry porn indicates that furry is a fetish community, you can just point out that by that logic, all anime must be sexual, because hentai is a thing. Ditto if someone tries to claim that fursuiting must be tied to some fetish--well, then, all cosplay must be about getting your rocks off!
Most people are not so devoted to being "right" on this particular point that they're willing to argue that ComicCon is a massive gathering of sex perverts .
But, yes, setting logic traps aside, comparing something to something else the person already knows well is a great educational strategy.