There's a lot there, "gender identity" is a crock so on that alone I'd say 'nope, don't agree.'
If it's 'gender' I'd have to ask: do you wish to bar marriage, child custody, adoption, etc, based on that? Why? (I'd agree; I mean is it right men are denied child custody because they are male?)
Now the big one: sexual orientation:
Let me answer it this way: if there's a homosexual, who becomes Christian fully [i.e. real conversion and not lip service], but is still beset with homosexual desires should that alone preclude him from any of the above?* I would say no, because the Law deals with what is done not what could happen. -- In short "being homosexual" (that is susceptible to that temptation) should not factor into guilt or innocence of law-breaking because temptation is not action.
ON THE OTHER HAND, [active] homosexuals are statistically more likely to be child molesters -- I rather prefer the death penalty for rapists & murderers, it ensures there are no repeat offenses.
* - This says "current marriage", given most states still do not accept homosexual marriage let's assume bisexual marriage; should he be barred from that? I think not.
You keep dwelling on marriage, but you also support homosexualizing the military and adoption and child custody dont you?