"But it's private companies! They can do whatever they want!" The telephone companies are private. Do they have a right to kill your connection when you talk about unapproved subject matter? Twitter, Youtube, Facebook, and so on are the modern de-facto means of communicating long distance and to wide-spread audiences.
"But it's dangerous to let these opinions reach the ears of the masses." Open discourse and trusting society to (eventually) make the right decision, given all available information, is something we've done (or attempted to do) in modern democracies. This is important.