Maybe Bitcoin will not be dominant currency in the future because fiat will be not put of the throne but it will probably be much more adopted and spread then it is today, at first place in shopping and different online services. Maybe also in high technology and IT industry.
Most answers here will be speculative, However, considering the fact that no government will still not allow a decentralized virtual currency to control their local exchange. Some factors/purposes in the future will be unavoidable by govt about bitcoin or other new cryptocurrency. Factors/purposes that obviously fiat cant offer and they need. The interest will start with the first world countries down to the third
"Bitcoin everywhere" would not be that easy to happen because there are the Governments on the different countries around the world that won't allow that bitcoin could be use on all of the transaction that we are going to have on our daily lives, even though the majority of all the bitcoin users wants this to be happen, still the Government is our problem. In some countries, the Government sees bitcoin as a threat to them, because first, some of their people are using it in illegal activities like buying illegal stuffs online, like drugs and guns.
However, the chance of using bitcoin as the main currency is 60:40 in ratio, 60 percent of the population wants these to happen, and 40% are not sure about it, because not all of the people knows bitcoin.