A demonstration of force is good. Shooting intruders, if unarmed, not. My concern is that an incident will be provoked which will provide optics which will gain sympathy for the invaders and be widely circulated. That has to be avoided, even if it means corralling the press.
I agree with your analysis. After Kent State, LEOs and other forces got much better at "crowd control."
Obviously no good reason to shoot. But maintain good order, and isolate, and arrest the worst of them.
And these days good photography has to be part of the efforts by the good guys, since the bad guys will photo it and use well edited scenes if possible.
An incident in my town was on Facebook hours after it took place. A police officer shot and killed a 27 year old homeless Navy vet. The video shown by the local network, was edited to ony show a rumble by the officer and the perp, then the shooting.
What was initially NOT shown, was the lead up, with the perp advancing on the officer, the officer using his taser, etc.
The two video versions told opposite stories. The left lost huge credibility in hours. Weeks later, it was proved that this perp, had murdered an elderly man, who had befriended and tried to help him.
The episode proved how dishonest the media is. The city Police Chief and the DA, used it to publicly tell the true story, of a violent drug addicted fellow, who commited violent murder. (I know the mother of the vet)