This is something which I've beleived for awhile, which is the prospect that if big governments and banks worked heavily together they'd be able to remove Bitcoin from the face of the earth. They wouldn't ban it, as that would be a tough thing to swallow for the American people as they wouldn't see a good reason to do that ( at least in my mind here) But they could just go ahead and regulate Bitcoin into oblivion, making it hard for Bitcoin businesses (buying and selling, trading, etc) to operate within their countries, or be subject to insane taxes, KYC AML and such.
Do you think Governments could kill Bitcoin?
Of course government has the power to stop bitcoin. They can also prohibit its use. It depends to the government of a specific country if they will support or not the idea of bitcoin because bitcoin has its own advantages and disadvantages towards the country and also to the people.