In my place guns are banned, so maybe I\'m biased.
If you ban guns, the police doesn\'t need them as well (at least not for standard duty), because all the aggressive nutjobs and small / medium scale criminals will not have guns (and if they do, the police has a convenient reason to lock them up, since having a gun is like screaming \"I\'m a criminal!\"). This in turn enables the police to get hold of them without having to resort to a gun at all, because they can\'t be shot. Therefore, by banning guns, along with tight gun controls, you can decrease the danger of anyone getting seriously hurt. This might sound strange to anyone having grown up with guns allowed, but it\'s a fact that a gun doesn\'t protect you, it just endangers others. Furthermore, if I\'d have a gun, I\'d be pushed to shoot you more quickly and more deadly if I knew you also had a gun, because otherwise you\'d try to shoot me. Thus, having a gun even increases the danger of getting shot.
With guns banned and the ban strictly enforced, the only ones who will have guns will be organised crime (as they can get hold of them and hide them) and special police forces. The first you\'ll not stand any chance against even when holding several guns yourself, and the latter is trained to be able to use the gun appropriately, which will take the burden of deciding whether to shoot someone from the ordinary cop.
There are some things that are just too dangerous to allow them, because they create too much damage when abused. Guns IMO clearly fall into this category.
As for your question: I feel way safer because guns are banned, since it means that I\'m not constantly at high risk of getting shot because someone just feels like shooting someone, or is too stupid to actually hit the one they were aiming for (because a gun, even if held in my very hand, doesn\'t stop the bullet that comes unexpectedly).