Seriously? The choice for most of us is to transition and embrace the way our heads our wired or suicide. I don't see a choice there. I didn't have a choice. I didn't choose to have my marriage explode either. Our society is about gender binaries, Male or Female, for the number of people who fit someplace outside of that precise box, having documentation and paperwork that does NOT match their presentation can be crippling in this binary society where people think that if looks don't match that M/F field, then something is very wrong automatically.
How would you like to hit a TSA checkpoint and almost be denied in the ability to pass beyond the checkpoint to catch your flight because your ID says your Male and you have breasts and look like a Woman? Or better yet, when you present your identification, and people completely change their interaction with you, their tone of speaking, and begin using word that remind you of the pain that you endured.
Preventing the ability to change documentation is not only for people that are transgendered, its for everyone else who has to see/interact with that identity information. It is inhumane to both parties to prevent the ability to correct the information.