Before this can be achieved, bitcoin will have to be accepted by the government as a legal tender. I am sure you know this is far away from happening. No government will accept something that they do not have control over. It is way off their plan. How do you want them to make people pay tax?
In our current context, where the world order follows fiat and a banking system deeply entrenched in fiat standards, impossible. But if they were to do away with that (or if not by choice it simply gets displaced), then it's absolutely plausible for no body of control over money, and states controlling money only in their limited domain, while everyone else transacts in uncensorable money like Bitcoin.