Pretty much all of his policies are widely unpopular, so I doubt public opposition to this will stop him.

Via Rasmussen:

The U.S. government announced last Friday that it is giving up its last bit of control over the Internet and turning it over to an international organization.But most voters think that’s a bad idea and expect countries like Russia and China to try to censor Internet content.

The latest Rasmussen Reports national telephone survey finds that 61% of Likely U.S. Voters oppose the United States giving up its last remaining control over the Internet. Just 18% favor that move, while 21% are not sure about it.