I'm not much into furry characters myself, but I have some friends who are and I never thought of it as particularly odd or strange. As J. has pointed out before, a Star Trek message board should be the last of all places where furry fandom is looked down upon.
I do, however, have a problem with some of the art depicting furry characters. Not because I consider it obscene, but rather because most of it looks just the same! I mean, from a purely artistic standpoint; why do so many 'artists' draw their characters in exactly the same unoriginal way? And I'm thinking mostly of all the furries on deviantArt. It's as if they are just copying one another.
You and I have that same question. For me, the whole point of the art is variety. When people emulate the same style, it loses it's charm, it's fantasy.