The Progressive leaders are real meddlesome when it comes to regulating business and things that give individuals economic freedom-because they don't want people to have that kind of power. But they generally leave the self-indulgent things alone, because that's what their supporters like- things like sex, drugs, music, etc.
If those things get restricted on the Internet, there will be a massive revolt. I'm not sure of they care all that much about free speech, though.