If protesters effectively shut down Trump's free speech by drowning it with their free speech, that's not free speech at all. That's just sabotage. If protesters want to speak their mind, they should do so when Trump is finished. Again, imagine Trump supporters storming a Clinton rally and drowing her speech with their loud protests. Would that be okay to you? I think it'd be idiotic.
I don't know about the USA, but in Germany, when a political party crosses a certain line, the court will declare that party illegal and ban it. The NPD is pretty much under permanent watch because of their radical rightwing views. The same is true for the newer AfD who's members proposed shooting refugees, if they illegally cross the border. There got to be a similar option in the USA, no?