I don't think any kind of internal pressure could do it, possibly in some countries they would get away with 'turning the Internet off', but certainly in the Corporate countries, that would be very difficult to achieve. There was talk once of limiting the Internet to purely busniess interests, but that was struck down by the industries themselves, since it removed a massive advertising tool.
A greater risk is some kind of catacalysmic failure in the backbone, it wouldn't destroy it, but I have the suspicion that the 'net that returned when it is repaired wouldn't quite be the same Internet that fell, chances are the opportunity to twiddle would be taken. Would that be a good thing or a bad thing? I'm not sure to be honest, sometimes the right to anonymity is a wonderful and useful tool, other times it is just taken as an excuse to display the worst aspects of human ignorance and intolerance.