We are considered a 4F, completely unsuitable for military service. GID is considered a major mental illness in the military. The selective service also excludes women from having to register so the FTM crowd is safe until they change their gender marker.
When the CG kicked me out they gave me a reenlistment code of 4, which means I can not get any govt job, or ever be brought back into the military. It would take an act of the President to do that.
When my command got the idea that I was trans, they pressed some BS assault and battery charge on me for giving one of my nonrates a "wet willy". Its how the military operates, if you are considered undesirable they will move heaven and earth to get rid of you.
On that note you still do have to sign up for the selective service, as a bio male you can face a large amount of prejiduce against you for not doing it, even if you are unsuitable for service.