Non-furries love anthropomorphic animal characters. Our culture is full of them; all cultures are. Furries didn't invent sports mascots, Looney Tunes, the Easter Bunny, Aesop's fables, or the Egyptian pantheon. Obviously it's not the appreciation for talking animals that people actually hate. So why is it that, out of all the weird subcultures that exist, the one that gets the most hate thrown at it is the one centered around a love of something universal to all human cultures?

It's because the founders of the modern furry fandom were gay and poly, and the fandom has always had an overwhelmingly LGBT membership because it used to be the only non-fetish community that openly accepted gay and trans people. All anti-furry hate is either a negative reaction to the fandom's queerness or a deliberate attempt to attack the LGBT community by proxy.