I'm not so naive as to believe that some in big government would like to have the ability to shut down the internet, but there's not way it can happen. Nearly all businesses would come to a grinding halt and the entire economy would crash. Although I'm sure the Democrats believe they could manage a centralized economy from Washington DC - see GM, Citi, AIG, Fannie, Obamacare, etc. there's no way they could operate the entire economy - especially without the internet.
Having said that, let's not give them the chance to get their sticky mitts on any other part of the private economy.