Dave. Good for you.
As the token Brit I try to avoid having an opinion on some else's constitutional rights. However I do own some guns - I brought a shotgun with me from the UK and have since added a rifle and a handgun - they are kept in a big safe in the basement and I usually can't remember the combination, so not much use if some one breaks in...
This may amuse you, but when I arrived here (having filled out a whole bunch of forms from the bureau of alcohol, tobacco and firearms - the same forms you would fill out if you were an arms dealer BTW), I went to my local police station to register my shotgun. They laughed. I explained that in the UK you would have to apply for a shotgun license, meet with the police (twice), and have a secure metal cabinet bolted to both wall and floor, before they would even consider granting you a license. This was met with a combination of more laughter and general disbelief. I further explained that you could no longer get a firearms license in the UK (which means you cannot own or buy a handgun or rifle), and they looked genuinely sorry for me.
As the NRA is fond of pointing out, deaths by shooting have gone up in recent years in the UK. What they fail to point out is that most of these deaths are inner-city, drug related, and 'black on black' and not private citizens being terrorized in their own homes. The vast majority of folks in the UK have no interest in guns, and the regular police still don't carry them, so most people will go through life without ever seeing a gun in daily life, other than on television.
The UK gun 'ban' is not going to stop gun crime - bad people will always do bad things, and there's a thriving black market for guns coming over from mainland Europe - but it does reduce the chances of accidental shootings, random shootings (arguments getting out of hand etc), and a 'gun culture' ever taking hold. That said, I'll bet a few more folks keep a big stick under the bed...