It's not really "my math". It's simply "the math". If no person has a right to do something, it equals zero right. My wishing it equaled something else won't change the math.
Your reasoning fails to include that those concerns you have could better be handled by private persons acting in a voluntary and charitable way.
I'm not sure there would be more rage induced murders. I think there would be less property crime and less murder. Especially if you consider that war is simply legalized murder and doesn't just sponataneously happen, it usually involves government(s) Less property crime almost always occurs in a well armed and civil area.