Well, speaking for myself, I think the whole experience of being transgender is absolutely bizarre.
I look male, sound male, act male, am treated as male, have a wife, am a father, do all sorts of things that seem archetypally male and yet I have an absolute, bone-deep, unshakeable conviction that something is terribly, terribly wrong and that I could only be the true expression of myself as a woman.
It has taken me decades to get my head round that idea. So if other transgendered people find it weird, I understand. And if even the kindest, most tolerant, liberal, broad-minded, decent people I know - the kind who will always absolutely stick by me and have my back, no matter what happens - find it impossible to imagine what it would be like to doubt something as fundamental as the gender they were born with, frankly I don't blame them.
That's not to say that we are freaks, or that we deserve to be hated (least of all by ourselves), or that any kind of ignorance or discrimination is acceptable. It's just to accept that this is a very unusual, and in many ways inexplicable situation to be in. So, yeah, it's weird.
PS: To Nicolette and others ... Of course you're right: the whole concept of us tiny little creatures in a minuscule planet in a universe of a hundred billion galaxies is mindblowingly weird on a scale that a little gender dysphoria here or there doesn't even begin to match!