This is all a load of crock. It's not as if US is controlling the Internet today. If they were, then there would be no great firewall of China, no filtering of tweets in India and probably no net neutrality. Also, what is "US" that controls the Internet according to this - the government or the military or the people or what? Because I did not see any changes in the Internet when the US government changed. The packets didn't start flowing in different ways just because there was a new guy in the Oval Office.
Today the Internet is "controled" (and I use this word loosely) by technocrats and bureaucrats and civil servants. If tomorrow UN/ITU took "control" of the Internet NOTHING would change, as it would continue to be controlled by another group of technocrats and bureaucrats and civil servants. And one thing they are good at is maintaining the status quo.
With all these dictators as USians see them, "controlling" the UN, what of your rights was ever trampled in the 67 years of existance of UN? What ideology was rammed down people's throats? Now how do you think that those pesky russkies or chineeze will stop YOU from talking about things they don't like? By passing a UN resolution? First they don't have enough votes on their side, second the UN resolutions are sooooo well respected by everyone.
If the "control" was passed tomorrow from ICAAN to ITU, a couple of feel-good resolutions would be passed in the vein of "everyone should have the access to the Internet", some more non-latin cTLDs would be created (like you care for the ones that exist already), and NOTHING ELSE WOULD CHANGE. The China would still operate the great firewall withing their cyber-borders, Australia would still pass the laws requiering the ISPs there to filter traffic for terrorists, criminals and IP violators, and US would still discuss the SOPAs, PIPAs, ACTAs and Net Neutrality laws. Unless they create the Internet police with their blue berets that US can send to China to arrest people torrenting the latest films and vice versa that China can send to US for discussing Tiananmen. Don't be silly.