From reading the article, it seems that the posters would only have to identify themselves if they were reported for cyber bullying... A toll free number would be provided and they would have 48 hours to identify themselves or their post would be removed.
They also need to make the line of demarcation between what is defamation and what is not in writing this law. Stating an opinion (ie. "I think that this person looks like a thief and a liar") is different than stating a fact that cannot be proven (ie. "This person is a thief and a liar"). Stating an opinion is protected by the laws of defamation, whereas when it's phrased as a fact without proof, it can be considered defamation and thus, bullying.