For me, it's not so much the idea of furries themselves, or even the fetishes, it's the amount of attention that most furries tend to demand from the world. I honestly think that most people wouldn't honestly care that much if furry-dom was presented as (and furries acted like) "it's just another kink, no big deal, and we don't really need to talk about it/share/expect anyone else to give a damn". I'd find it just as annoying if someone put a big ol' cross as their avatar, and spoke about their love for Jesus with any significant frequency. It's not that I have a problem with it, it's that I don't care at all, and have no desire to hear about it, at all.
I'm pretty sure most everyone on the internet (but especially on this site) would be perfectly accepting of furries in passing (in the same way that they accept any other individual quality of a person). The issue is that furries demand that their furry-dom be the driving force in their personality, and make it front-and-center.
I'm not saying it's "bad" to be open about your identity, and the things you consider important, but you do have to understand the consequences. Any deviant behavior (deviant in the purely statistical sense of deviating from the norm, not in the sense of "evil and wrong) is scrutinized more closely, and more likely to evoke "eww" reactions from some segment of the population. One of my close friends Freshman year of college was a furry, and I never knew about it. I liked her fine, and I probably wouldn't have had a "problem" with what she did, but there was no need for her to share that information with me.
There's kind of a scale for things which are acceptable to present to society about yourself, especially when it comes to things related to sexuality. Some things you'd be willing to say in a work environment, some in a classroom of your peers, some to your acquaintances, some to your friends, some to your girlfriend, and some to other people you know enjoy the same thing. I'd admit I like redheads in my office. I'd admit I'm a fan of smaller breasts in a classroom. I'd share with my close friends my specific sexual exploits and sordid affairs (okay, not that sordid). I'd share with my girlfriend my socially acceptable kinks. But I'd save for a like-minded group of devotees the fact that I used to be into sadism and necro-beastiality... Until I realized I was just beating a dead horse.
(God, I hope people realize I'm kidding about that last part)