Can the US Courts stop this ban on Transexuals in the military?

[Lee-Lee]

7. Most likely no.

Where this issue stands out different from other issues like race or sexual preference is that virtually every transgendered person has requirements for specific medical care- hormone therapy, hormone level monitoring, mental health care, etc all go along with transitioning.

The military pretty much has broad discretion to determine what medical conditions it will and will not take, and what they will and will not retain you with once you are in. You can't enlist if your diabetic and they are very, very, very unlikely to keep you in if you develop it because they can't be assured you can get your meds or the proper diet in a deployed environment. Same goes for loads of other conditions requiring specific care. Hell, sleep apnea not will bar you from enlisting and get you medically separated because they can't ensure you will have a CPAP or power to run it deployed.

And while a small number of people who are transgendered don't need any hormones, the military can still do a blanket ban on the condition if they say a high enough percentage of people with it are ineligible so it's not efficient to review every person case by case.

On those grounds, as long as they apply the medical readiness standards no stricter than they do for diabetes or sleep apnea or any other medical condition the chances of defeating it in court are pretty much none.