Would I? Hell yes I would. In fact, if I met an attractive duplicate of myself from the opposite gender dimension to whom I would be the attractive opposite gender duplicate (presumably the fact I'm f**k-ugly is what's considered attractive in this universe...), that would probably be the first thing that comes to mind.
Though, what's more likely is we'd both want to from the first time we see each other, but be too concerned about what we'd think about ourself if we asked! I mean, it is a bit odd, and thinking your opposite sex parallel universe counterpart is some kind of sexual deviant is so weird it will be one hell of a turn-off. What if she says no? I mean, she has to worry about getting pregnant and I don't, that would no doubt make the issue different for her. Could I really take being rejected by myself!?