If by "shout someone down" you mean "refuse to engage with them", then it's sometimes required. Nutjobs need to be ignored sometimes.
I think the Judge is a piece of shit. I don’t like him as a human being. However, “ignoring” is precisely what should have happened here.
Also, if you watch the video the entire thing was staged - the students shut up on command - to get that lady dean up on stage where she could present her prepared speech about how valorous it was for her and them to shut him up. Pure hypocrisy.