And it will be a digital dollar, yen, euro and everything. That will be the start of upgrade by technology when it comes to the financial matters of each country. I do believe that we are near to that place, the government just need to realize that there are still people that are computer illiterate but not in America but in some countries.
IF what you are telling is going to happen then i think the value of following this technology will become failed as same thing will happen that each country government will control digital currency also and which wont make it good for it. So i think their wont be another bitcoin and both bitcoin and dollare are different, one is used online and another is used in real life.
The government can copy the technology(bitcoin) except for the decentralized platform because the government will not exist if they will also follow that, they will remain to be centralized as they have the power and responsibility to monitors cash movement under the law.
With bitcoin we can see how our bitcoins move but we can never who are the person behind the movement which is almost impossible to hide to the government.