Not a chance. Our military needs supplies to operate and thus a solid form of value must survive a catastrophy. Green ink and cotton paper wouldn't do.
OK, let's suppose we went to a gold standard and stored the stuff in the Fort Knox Bullion Depository...and then a Tunguska event hits Fort Knox. Then we're REALLY hosed.
As for supplies, they aren't kept in DC, and the value of any currency is a measure of the confidence of its users. How much more confident would most Americans be without little Tommy Daschle trying to raise their taxes?