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If you are going to require that all presidential candidates have military experience then you must first remove the ban on GLBT persons serving in the military, otherwise you are by default banning a whole class of people from seeking our nation's highest office.
Also the disabled, since I guess people with physical disabilities do not enlist in the military. So no more Franklin Roosevelts holding office from their wheelchairs.
This would also suck for women who aspire to the presidency, since although the numbers are growing, I think there are still more men than women serving in the military.
I guess no Quaker presidents. No conscientious objectors!
Anyone else I'm forgetting in this shrinking presidential field?