LBG are sexual distinctions. T is gender (of any sexual persuation). The whole thing is a political tool. The T's are such a tiny number, that only by allying with the LBG do we have ANY political clout at all.
If you care to get active, and political this is an important alliance.
If you're just looking for a label, call yourself whatever you want.
The question of why all crossdressers are considered gay is not going to ever go away, and it's easier to just live with it. You can spend all day trying to explain crossdressing, or just say 'Gay as a picnic', and be done with it.