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?
I think it is impossible for the government to do that. Any attempt to control Bitcoin won't work. The government and regulatory bodies have shown lack of understanding of technological topics and Bitcoin is one of the most complex. As government struggle to ban technologies, it seems impossible to imagine them gaining the ability to truly impact bitcoin and its contemporaries ina a way that could impede its progress.