One of the first things that a Trump or DeSantis administration should do is to make an announcement like this. Except couch it as a maturity issue, not a cancel culture issue.
“I saw the way these law students treated the speaker and they have demonstrated that they do not have the emotional maturity to work in my administration.” If Harvard or Yale can’t get their grads into government positions, they lose a lot of clout.
I like your use of language.