There’s nothing saying I HAVE to listen to someone spewing hate and misinformation
Except for the concept of being open minded. The ethical imperative to face new information that’s not easy to process, so that you can respond to it instead of being blindsided by it.
Free speech is a responsibility held by all members of society, to maintain those channels of communication.
Just like a good general has a responsibility to hear emissaries of his enemy, no matter how bitterly hated that enemy is. There’s nothing that says he HAS to listen to that emissary … other than his responsibility to his troops.