I don't know but at my opinion that USA will not replace dollar, cause bitcoin is very hard to control and it's not profitable for USA goverment. Bitcoin is solo currency.
This is not about favorable or not to the government. but the government will always protect the dollar no matter what happens. the government will retain their local currency from foreign currency entering. it will be done by all governments
Governments or institutions will really do try to protect their interest for their individual currency's because it is where they keep the government in control of their jurisdiction.