I'm not gay or lesbian but this question could be applied to anyone.
I am heterosexual. This means I like men. I see the value in female erotica but that is as far as I'm ever going to venture. I get the "love the person not the gender" but feel you have to be inherently bisexual to do this. I love 8 women in my life but I have no desire to sleep with or marry them because essentially my sexual responses, desires to have children and a want to stay with this person forever only kick in when men are involved. As a person, i identify and generally like other women way more than I do men, and all my friends are ladies. But deep down my desires are to be with and mate with a man. I could force myself to marry my best friend, and we'd get on like a house on fire, but we wouldn't ever "click" in the bedroom because we are two straight girls, and thats OK.
Could I see myself dating someone who was born a woman? I don't think I could personally. My attraction to men is natural, and while I fully respect and try to treat transgenders in the way they wish to be treated, this is a learned response from me. My natural instincts still tend to recognise someones original gender and my natural feelings and guarding mechanisms react the way they would if this person were their original gender. It's very difficult to explain, my heart just wouldn't (or hasn't) fluttered around such a person.
If I were a lesbian? I would probably feel the same way. I would be attracted to women for a reason and would want to date a woman, probably a girlie girl with funny childhood stories and the biggest pair of natural boobs I could bury my face in if I'm being quite honest. I simply find natural figures more attractive than surgery aided ones. While I can recognise that a transgender feels like and desires to be a woman, it still wouldn't be what I would be looking for in such a relationship.
It's not just physical either, mentally I react different when I'm speaking to a male or a female, and for the most part transgenders get the same natural response from me as someone of their original sex. I would have to watch not to accidentally call a transgender customer "sir" for example. I know it's not nice and not what they want, and I'd be mortified if I actually said it, but it's hard wiring in my brain that is very hard, and maybe impossible without cognitive therapy, to undo.
The other thing, is it is quite rare to meet a transgender that hasn't had a lot of issues in life and doesn't have a lot of depth to their character. This isn't everyone's cup of tea. I have to say, for me personally, I want my partner to be interesting, but I don't want too much baggage. I'd be as inclined to stay away from as transgender as much as I would a man three times divorced, or someone with kids, or someone who was abused all their life. Because my life is generally not very complex, and I don't feel I match well with these types of people, or can offer much support and understanding and again this is OK.
To apply this question only to homosexuals seems to imply that they are more likely to be tolerant of a transgender, more likely to recognise a transgender as the sex they (the homosexual) are interested in, more likely to put up with any confusion and baggage that relationship brings, and more likely to in some cases settle for a partner that doesn't fully identify with the gender they represent (in terms of operations and genitalia). There is much more tolerance of transgenders in the homosexual community in the main. But I've also seen some homosexuals resent the T part of the BGLT tag and be quite nasty about them being associated with the gay movement. When it comes down to it, a lot of homosexuals would have as little interest in dating a TG as I would. And I'm sure there are plenty of heterosexuals who would if the right person came along. There is no right or wrong answer, it comes down to the individual.