Guns are specifically designed for wounding or killing an intended target. Not for self defense, the main difference being that self defense can be achieved in non-lethal ways.
As the sole intention of a gun is to cause fatal wounds, it has no real place with a civilian whom of course should have no reason to need to kill something.
Of course this problem can be broken down. Shotguns and rifles are more designed for hunting, so have at least some place in a civilian market, older guns are often sought after by collectors and rarely used outside of decoration, again having a place. The main problem in all of this is the standard handgun. The majority of homicides, suicides and accidental death cause by a firearm are caused by handguns, and the sad thing is they have no other use other than a tool for one human being to kill another. When you train with a handgun in a firing range, you are training to hit a human target. This has NO place in a civilian market.
Handguns are useful for military as a sidearm and at a stretch a police force; not civilians. When civilians get a hold of them their only purpose becomes shooting a person and practicing for shooting a person.
So while firearms in general should probably not be taken completely away from civilians, tighter restrictions on who can get what for what purpose should be imposed. Having a gun because you feel safer knowing you can brutally murder someone should you get a bit too freaked out should not be a valid enough reason to own a firearm, a number of self defense measures are available that do not require murder.
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As for the rest of the argument, the obvious one first:
Natural illness and accidents are self inflicted? really?
And the alcohol.
Firstly, a small amount of Alcohol has been proven to be healthy for you; and while it's true that incidents arise when too much alcohol is consumed, you're kinda missing something there; That the large majority of these incidents are SELF INFLICTED; that is, in a large number of these apparent deaths cause by alcohol the person whom died was the person injesting the alcohol, while the number you quoted for guns was homicide, so the person killed someone else; that is a very significant difference. It means that with alcohol, if you dont want to put yourself at risk, you just know not to drink, a fate not so avoidable when you're facing down the barrel of a gun, you can't just say 'im not getting a gun, therefore i will not get shot' while you can say 'im not going to drink, therefore im not going to accidently drive off a bridge or get severe liver damage.
Now that we've presented alcohol in the same light you presented the gun related crimes, lets flip it, and present the gun related crimes in the light you presented the alcohol related ones, by which i mean lets look at ALL gun related deaths shall we?
In America, its not homicide that gets the biggest body count believe it or not, the USA boasts a suicide rate thats actually higher than its homicide rate
"Firearm?In 2009, 31,347 persons died from firearm injuries in the United States"
(http://www.cdc.gov/nchs/fastats/injury.htm)
Considerably higher than you're 12,632, and higher than you're suspiciously even 25,000 alcohol related deaths.
And about that, the 'alcohol related deaths' encompasses a massive amount of different actual causes, the number related to those where alcohol is merely a contributing factor, and when another person is killed the large majority are accidental (road accidents) which obviously doesn't excuse it; but its a much less evil than the ease of a premeditated murder or even killing spree. You know how much harder a killing spree would be if you were completely hammered?