The problem is that judges are typically a lot older than the average person and very, very, conservative, plus -and this is a big one- they don't have to *openly* hold it against you.
- Parent 1 says she should live with me because blah blah blah
- Parent 2, who is trans, says she should live with me because blah blah blah
- Judge thinks "Hmm I don't like gays, trans, black people (or whatever prejudices they have) but I can't openly say that. Hmmmm."
- Judge says "I agree with the Parent 1 but its nothing to do with the fact you are trans".
Problem is, if you have changed your name, unless you want to change it back, then you are going female. If you have not changed your name, go male. They *can't* hold that against you and it is safe. Safe and 1 afternoon long. The kids come first.
Good luck.