Look, they do make you sign a contract. Even if nobody reads it. Among others, you have to use your own name, and there are limits to what you can publish. And if it is brought up to their attention that you didn't respect the rules, they close your account, pure and simple. You then lose all your data and there is nothing you can say to bring it back (unless maybe you have some pwerful friends?). That's what happened to me, mainly for posting a photograph part of an exhibition taking place in Paris, and which contained nudity, but nothing shocking, really. But one learns from this and I look at all those free services differently now: FB, Google, Twitter, whatever, THEY have the power and we are way much more vulnerable than we think we are.
All that to say: either you are an open content hosting company and you don't need contracts and should not apply any censorship, or you are striving for a virtual equivalent of a secure residential area. You can't just change your mind as you wish, and being discharged of all responsibility, that's too easy. Whoever posted content or visited this website while being registred as under 16, and yet bound by contract to FB terms of use, which is arguably illegal in Italy (whithout parents approval), makes FB either an accomplice or maybe guilty of those sad events.
Besides, even in USA, one's freedom stops where another's starts. Thus freedom of speech doesn't allow you to violates another's person privacy (as long the right to privacy is not obfuscating anti-social behaviour and doesn't hurt anybody, otherwise the right to privacy doesn't apply). So please don't bring up freedom of speech in such a childish way, out of context, and isolated from all other possible rights. You reasoning is oversimplified and wrong.