Surely the best way to defeat and argument, is with an argument? If the free speech claims outline false or wrong thinking, then debate and show that speech and thinking to be wrong. University of all places should be the place for such.
Hate speech is often an excuse to silence, not by argument and debate, but simply shutting down opposition.
In dictatorships, dictators silence opposition by killing them. In democratic dictatorships, they just call it Hate speech and punish those who even think differently, denying them a voice, education, or employment. Confirm, or else.
A more sophisticated dictatorship exists. It may not literally kill the body, it merely renders opposition silent. And we know that for evil to flourish, it only takes the good to be silent. They don't need to be killed. Just silenced.