I don't think so, maybe the the goverment won't agree that bitcoin will replace dollar because first of all bitcoin was not created by the government. We can't say when bitcoin can consider a real money because we can only earn it in the internet. Maybe one day bitcoin can replace dollar someday.
Well ofcourse the government will always oppose the Bitcoins as they are not controllable and no govt wants the people to get finial freedom. But still bitcoin will replace dollar soon by people themselves giving up dollars and adapting bitcoins.
I am sure that this can not happen in the near future. People obey the government. And if it says that bitcoin is bad, then people will less use it