It's superiority is in its potential, velocity, open ledger and advanced security.
Presently, the military can attack countries that openly stop using the dollar. It is ineffective, however, for stopping individuals and companies from using Bitcoin, assuming the companies have state of the art security.
Silk Road, an underground website that was known for selling and buying anything, was shut down by government authorities and in just a few months, Silk Road 2.0 was launched. Then, that was shut down and 3.0 was up in a day...or two?
But that's not the end of it. Open Bazaar will make any interference impossible because it is an open source market place, which, being de-centralized makes it impossible to shut down.
So, the military won't play much of a role, if any, in enforcing the dollar or stopping Bitcoin.