I really don't know if Bitcoin would be 'compatible' as a nation-wide currency. Especially countries that suffer from economic problems need to have the ability of pulling certain levers and knobs in order to influence the market or stabilize the economy. Since Bitcoin is decentralized and an inherently unregulated currency, this won't be possible. But the idea is bold!
Interest rates, reserve requirements for banks, etc are levers which will still be available to them.