If a property owner asks someone to leave and they refuse, I believe that is trespassing and the police are within their bounds to intervene.
Consider two scenarios:
1. You enter a restaurant with your dog. A sign says "No dogs allowed." The manager asks you to leave but you refuse to do so.
2. You enter a restaurant with your holstered gun in plain view. The manager tells you guns are not allowed and asks you to leave. Without threatening or touching the gun, you refuse.
Which will get the bigger punishment?
Both should get the same "punishment" which is criminal trespass. The fact that a gun was involved should have no bearing on the outcome.
And in both cases, the "tresspass" charge should only apply after being verbally asked to leave by the business owner, or his representative.
"...the police are within their bounds to intervene. "
Then the statement "The government has no business either helping or hindering him to do so" must be incorrect as it stands.
"Which will get the bigger punishment?"
Off point.