As someone who visits both HN and 4Chan, I like having the choice. I definitely don't want the government deciding that 4Chan is illegal and wiping it off the 'Net because it contains disinformation.
When you ask, "How should governments fight disinformation," what you're really asking is, "How can governments deny their citizens the right to choose what information they read, watch or listen to." When it's phrased like that, it's not so appealing, is it?