Protestors can be moved away from where the jury can hear. The courthouse that I used to work at was huge, and you could not hear anything from outside, in both the State and Superior buildings. We've seen it happen over and over here. I'm fairly certain that there would be "mobs" from both sides wanting to be heard.
As far as immigrants go, they are still entitled to due process in this country. If they committed a crime here, they are entitled to a trial by jury or a bench trial. That is what I meant, but I'm sure folks understood that.
IMO.