governments simply aren't interested in incorporating bitcoin. they can't deal with the fact that it is something they can't control. paper money will stay at least for another 10-20 years.
There are various system in terms of governemnt. So there are still possibilities for paper money to get involved in the bitcoin system. Because as a crypto-currency that deal with transactions it also needs a basis of value which is the dollar to it to have value for investments and trading. So it would be a good thing for both Bitcoin and the fiat if it become the time where it would help each other to experience development and growth.
It seems to me that Bitcoin is definitely doomed to keeping users and investing in it. We have already made sure that Bitcoin is very good investment today and thanks to this, the popularity of crypto currency is growing. On Fiat will remain as always a means of payment and I think that many people agree that it is better to take a piece of paper and pay for your goods than wait for the financial transaction to take place.
Paper money could not be completely banned.Even in most developed countries like US,paper money is still used even when most of money transactions are digitized. There are people belonging to older generation and also illiterate people in under developed countries who know only the paper currency.