I've been giving this topic some thought and I'm really torn about this.
Being in the army is a job, just like any other job out there. Anyone employed by the government "serves their country." The only difference between a plumber employed by the federal government and a soldier is that the soldier puts his life on the line by going to war, while a plumber will keep the pipes running freely between the east and west coasts. And because a soldier goes to war and puts his life on the line, his position within the government payroll holds a higher esteem that that plumber.
From that article this person served in the Gulf War. It doesn't however go on to discuss his "character" back then or if he had been in trouble with the law before or during his time in the US army.
It is entirely possible that this aberrant behaviour started after he returned from war and was discharged. Now, I'm not defending him, because what he did to these women and children was very wrong, but those who serve actively in a war and see frontline action, can be affected in some very negative ways. And it's entirely possible that he may have been a fine upstanding man at that point in time.
One in eight soldiers returning from war suffer from Post Traumatic Stress Disorder, but only about 1/2 will seek help. And the army does not require a returning soldier to go through counselling, and often even abandons them upon their return once they are discharged, and sometimes even before.
To show mental instability is a sign of weakness and deeply frowned upon in such jobs where you need to have your emotions deeply under control and there is peer pressure, so that combined deters many from seeking the help they need to deal with their thoughts and feelings.
This man served his country, just like any other soldier out there, and that does qualify him for a military funeral regardless of whether some think it's right or not.
I don't condone what he did to these women and children, but until I know more about his background and what lead him to do these aberrant actions, I am willing to give him the benefit of the doubt that he in fact was not like this as a soldier and that this came about as a result of his war experiences.