Like all forms of enterprise, the owner of the message board should make the rules. If he wants a smoke-free message board then he is free to ban smokers. If he wants everyone to know who everyone is on the board and the people who sign up for that board on in agreement, then that is good.
Making it a law that everyone has to be identified at all times no matter where they are strikes me as being wrong.
If people don't like being on message boards where other people are anonymous, they should create their own boards and have rules that only people who use their real-life names can post. Seeing as every time a law is passed, we lose some more of our freedoms, I don't really see a need for a law here.
I don't think making people register and show their papers makes for a more polite society. An emphasis on manners as a social norm might but we don't really do that in our culture anymore. So maybe that is the root of the problem? People are polite when they are expected to be polite. Rudeness propagates when there are no consequences for rude behavior and polite behavior is treated as the behavior of chumps.
Reward the behavior you want and shun those who behave in a way you do not admire and soon you will have the best of everything. Shunting responsibility off to lawmakers only allows us to shun our own personal responsibilities in the creation of the environments we desire in our personal lives.