Yup.
Well, maybe. I can’t be too certain, not being an economist and all. But as far as I can tell. one big issue with bitcoins is that only a finite amount will ever be created and there is a known schedule for the discovery of new bitcoins. So, this means that all the traditional ways that national banks manage economies by creating and destroying money will be no more. Nations will have much less power to control their own economies (think Greece being bound by the Euro). Most countries will not willingly or easily give up this power.
Rand Paul and other gold standard bearers would be quite happy with this, though.