With the rash of homicides and robberies in this country, I believe people do support armed police. It is reassuring to the general public and a deterrent to crime. People who are intent on committing crime are frequently armed and no one would expect a policeman to go up against them empty-handed. While there have been some instances of abuse, I think the majority of people feel the police do a good job and they appreciate them putting their lives on the line for the welfare of others.
I am not sure how police would do there job in today's world without being armed. With that being said, I do not particularly feel good about armed police. It is a necessary evil, for the job, however, there have been times in the past, where it wasn't necessary in all jurisdictions.