No. On the flip side, being attracted to a trans woman does not make you gay/bi either (and yes I've had this very obviously transphobic argument presented to me)
No, of course not.
Atlas in this thread is expectedly oblivious to the fact that one of the primary reasons most people want to form sexual relationships is to have children. A cis woman cannot naturally reproduce with a trans man, etc.
I do have two, very conservative cis male friends who are both in serious relationships with trans women. One identifies as bi and the other as straight, but the one who is straight has only ever dated trans women since college. Does this make him part of the LGBT community?
The counterpoint to your point though would be that not every cis woman can have kids either. Sterile women do exist, probably in bigger numbers than trans women.
While yout argument could certainly apply to a long term relationship, I don't think it applies to a one night stand of some sort.