the wiki list you link is part of the picture, the unshown part is gun death rate giving a 2d chart where IF ownership correlated directly with deaths THEN members of the population would fall on a diagonal line ... which is pretty much the case:
http://www.businessinsider.com/shooting-gun-laws-2012-12
but what drives the first chart is accidental gun death and suicide.
Removing accidental death and suicide from the numbers as chart 2 does demonstrates that the US is just plain unique, it simply has a lot of gun violence, distinct from the ownership/homicide curve which quite plainly fails to show the correlation well at all (that is the curve is largely horizontal, not diagonal).
Assertions such as "gun ownership rates correlate with gun homicide rates (Newtons) is pretty plainly false.
It may be the reduced gun ownership is necessary to reduce homicide rates, and may even be sufficient to, but the presense of the guns alone does not predict homicide rate outcomes.