If we, as a society, are asking police officers to respond to potentially dangerous situations, where someone may have a gun, I don't think we can ask them to do that without being equipped with a firearm. Just my opinion.
Back to the original post which started this thread - the shooting of police officers in my hometown. A pair of officers responded to a domestic violence call from a woman. A man answers the door and is combative. He shuts the door, goes inside, cracks open the door and shoots the nearest officer in the head. Other law enforcement officers (the ones from my office) were close by and responded to the call, helping to retrieve the body of the fallen officer and kill the suspect, even though they sustained injuries.
So here's the question - if the officers that responded to the call were not armed, would the suspect have been as combative? Was he afraid for his life? Is that why he got out the gun (a semi-auto)? OR would all of the officers who responded have been mowed down because they didn't have weapons? Honestly, it's tough to say. The fact that other countries manage better says that perhaps armed officers inherently escalate situations just because they have guns. But I have no idea. You'd think someone would have figured that out, though.