Well, somebody has got to hear this case, whether it be a military or civilian court. Otherwise the Constitutional guarantee of a speedy trial is a mockery. The SCOTUS could well decide to hear it directly, if nobody else steps up to the plate.
Note: there has been no war declared. So the basic premise of Quirin has not been met.
Oh, and the actual Quirin ruling was to deliver the suspects to a military court... that was the sole impact of the ruling. All else was obiter dicta. The military court at least permitted the possibility of a defense, however remote its likelihood of success.
Now isn't this beautiful... we are claiming Quirin to prevent Padilla from being called up by a civilian court, yet we have no declaration of war so there is no military tribunal to hear it. I don't know what SCOTUS will do with this grand cop-out of judicial responsibility, but we can't let it stand. It will be the thin edge of a wedge of government tyranny. Perpetual war with Eastasia anyone???