Actually, I think that the pro and anti gun arguments are equally incapable of recognising each others arguments.
Taking the UK for instance. This picture creates the impression that gun crime is so rampant in the UK that every officer has to walk around prepared to fight a small war.

The authorised number of police in the UK is 140,000. The number of officers
authorised to carry firearms is 6,584. That's under 5% by my quick back of the envelope calculation, so I think you could say that bobbies seldom carry weapons today. Especially if you consider that not everybody authorised to carry a weapon does so at every point in time.
Given that only a tiny percentage of officers are actually armed, it makes sense to arm the officers in armed response units and on guard duty with overwhelming firepower rather than sidearms.
If somebody produces a weapon (which is more likely to be a BB gun that something actually able to fire a round) the police turn up with an armed response team with a dozen people armed with assault rifles, SMG's and a sniper. They can do that, because carrying a firearm has a 5 year sentence attached and anybody carrying a weapon is automatically committing a crime.
However, we then hear from the other side of the pond that gun control dosen't work etc, and the only way to have a safe society is to have it awash in weapons and ammunition.
I am about as pro firearms as anybody in the UK you are likely to meet, with the possible exception of street robbers, who I am sure would love to be able to carry a weapon without either automatically being done for five years, or shot on sight. However I would respectfully submit that their opinion should be discounted as they want the weapons for committing crimes, not preventing them.
I am a member of the local shooting club, I currently hold two medals for small bore rifle shooting, and two gold medals from Suffolk county for pistol shooting. You can still do target shooting and hunting. I do not support firearms being used or carried for "defence", (which personally I think is a completely meritless argument in this country) and given the chance I would not carry one. I know the majority of people in the Suffolk shooting clubs, and I think I am fairly safe in saying that roughly 100% of them wouldn't carry a weapon either if it were legal. Nobody wants to carry weapons for "defence" over here.
Gun control does work in the UK, and there is no support for changing the law to allow people to carry pistols or rifles on the streets. The most radical changes to the law that people would really like are comparatively minor changes, like being allowed to own semi automatic weapons in addition to single action weapons. Simple facts, however foreign pro gun groups won't ever accept that and will misrepresent the facts for their own purposes. I don't really care that much, its not going to alter anything here.
However I think the US anti gun groups are wrong to suggest that implementing the same laws in the US as we have in the UK would have the same result. I wouldn't expect it to work because disarming a country with a huge number of weapons in circulation would be near impossible.