If the government tried to ban Bitcoin it would be cutting off its nose to spite its face. From Nick Giambruno at internationalman.com:

Recently, we’ve heard powerful bankers and politicians expressing their desire to ban Bitcoin.
The notion that the US government will ban Bitcoin is popular for a good reason.
Bitcoin threatens a significant source of the government’s power—the power to create fake money out of thin air and force everyone to use it.
That’s because Bitcoin can give monetary sovereignty to the individual and render central banks obsolete—along with their confetti currencies.
That’s no small accomplishment.
It’s a historical development that profoundly alters the status quo between the rulers and the ruled. It’s similar to the invention of gunpowder, the printing press, and the Internet.
There’s no question the US government would want to protect their racket from an encroaching monetary competitor in the same way the mafia does when a rival encroaches on their turf.
The $64,000 question is whether they’ll be successful.
Friedrich Hayek, the great free-market Austrian economist, once said:
“I don’t believe we shall ever have a good money again before we take the thing out of the hands of government, that is, we can’t take it violently out of the hands of government, all we can do is by some sly roundabout way introduce something that they can’t stop.”
Hayek is right.
By their very nature, governments never peacefully relinquish power. And if forcefully taking power out of their hands is out of the question, then the only way to do it is through “some sly, roundabout way introduce something they can’t stop.”
Is Bitcoin that solution?
“Essentially you overwhelm your enemy with argument. You seize control of all of the means by which his government and populace process information to make up their minds, and you adjust it so that those minds are made up as you desire. Everyone is happy, no one gets hurt or killed, and nothing is destroyed.”
“Unlike PSYOP, MindWar has nothing to do with deception or even with “selected” – and therefore misleading – truth. Rather it states a whole truth that, if it does not now exist, will be forced into existence by the will of the United States.”
Lt. Colonel Michael Aquino, a devout satanist, 1980.