If you subtract suicides from the total number of gun deaths it changes the statistics substantially. For example Alaska moves down to 27th place, WY 34th, Mont 37, CO 35, WV 25 UT 44, OR 43.Suicides significantly skew the numbers in states with high populations of Native Americans.
Also: (Washington Times) New York, even before it approved the strictest gun-control measures in the country last week, was ranked fourth among the states in strength of gun laws by the Brady Campaign to End Gun Violence, but was also in the top 10 in firearm homicide rates in 2011, according to the FBI.
Your "Liberal" news source doesn't mention this fact.
Meanwhile, North Dakota was near the bottom in its firearm homicide, firearm robbery and firearm assault rates, but also had some of the loosest gun laws and worst compliance with turning over mental health records to the background check system.
I hope that you don't think that stricter gun control laws will change suicide rates?