It's an interesting hypothetical, but truth be told, the US are probably the last nation on Earth who would take the lead on this as they enjoy the benefits of the Dollar's dominant position in the world economy (although how it still maintains that dominance is anyone's guess). It's fair to assume they aren't looking to make it that easy for BTC to complete on the global stage. Each country is going to weigh up the pros and cons to their national interests and act accordingly.
More likley USA will see cryptocurrency as securities or some sort of assets than they will see it a real currency. But since they allow even exchanges to operate now on there we can see that they are somewhat looking good at crypto, specially with latest news regarding regulation. However "rich" countries such as USA, China and others are looking for ways to regulate this field because they know if they fall behind whole mess can show up and since you can't stop this thing at least try to regulate some part of it.