I don't think so. If anything the alt-right probably believes that the media is already under extremely strict control by the left. The elections made it very clear that the majority of the main stream media is in line with Hillary/the Liberals/the regressive Left. Almost every media technology company is also perceived to be in line with that pro-liberal media bloc (See: Twitter's almost exclusive banning of right-wing rule-breakers, Facebook's pro-Liberal news curation, Google's perceived tailouring of Hillary search results).
The alt-right probably wants free speech above all, to the point where hate speech is permitted in much the same way that safe spaces are today.