I think a lot, maybe a majority, of Americans would agree with you. However I am not sure that makes a person any safer, there are hazardous associated with carrying a gun, everything from unintentionally falling into the wrong hands to the increased risk due to pulling it out and/or incompetent use. I suspect this only makes those who are highly trained, like the police, any safer.
However I know this is just my belief, and I could be wrong. I have done some research and you can find lots of studies that come down both ways on this. I know it's a very politically charged issue, but good unbiased data would be very helpful to us all. Unfortunately from what I can tell that just isn't out there.
I've gotten rid of my handguns, and keep my long guns locked away and no ammunition in the house. Never carried a gun, except when hunting, or target practicing.