Sneaky little bastards!
On the outside chance that you just "missed it" I will once again give my legal argument for keeping Islamics out of our military....that is what you are seeking here...is it not?
Content of the original post...
You asking for legal justification for not keeping Islamics in the US military is like putting the cart before the horse.
They should be kept out until such time that it is determined to what extent Islam is compatible with a non-Islamic government.
Europe and the UK are just now entering this debate. Apparently the US (at least the military)hasn't even considered it yet.
Any religion that has a political program involving its seizure of power in its source documents is not a religion but a political party, and if this political program includes overthrow of the existing legal civil entity as is the Koranic teaching, it can legitimately be banned under our US Constitution.