@Demosthenes49 - the right of CMC to shut down a protest or discipline students after the fact is set forth in the policy. There is no right for them to shut down a protest until the activity rises to the level of the interference described in the policy. A protest that does not shut down an event or interfere with the speaker being heard ( as in the Middlebury case}, cannot be shut down by the administration under the clear wording of that policy.
In any case the scenario you worry about where protests might be shut down is not the reality on college campuses right now. In fact it is just the opposite. CMC did not shut down the protest, nor did Berkeley, UC Davis or Middlebury. Instead the speaker was either cancelled, chased from campus or relegated to an empty room with a live stream to deliver a non-interactive presentation. That should worry everyone.