Well, I don't have the same confidence in their ability to always get the Constitution right, but like I said, it's not on the same level with the explicit constitutional provisions for civilian courts and the whole system of checks and balances. As such, it shouldn't be taken for granted, and even if we assume that the supreme court got it right in that particular case, it needs to be examined in the full context of that case, so as to avoid drawing too many unwarranted conclusions from it.
Look it up, it is Ex Parte Queran. It was decided 9 to nothing.
That case is very instructive because it goes back to the start of the Laws of War and explains the whole history.
You will understand a whole lot more about the Laws of War, Military Commissions and everything connected with it.
You can probably find it in FR archives. That is where I saw it. (The whole decision, not just an article about it.)