Except records indicate that LGBT’s serve honorably and with distinction in our services making your argument moot.
How did you come to the conclusion they’re not healthy enough not serve?
You mean like Bradley Edward Manning?
The purpose of the military is to break things and kill people. In assessing whether something is good or bad for the military depends on only one thing, does it make the military more lethal? Adding people with sexual disorders does not make the military more deadly, instead, it disrupts morale. That is not beneficial to the military.