I understand what you're saying, but I disagree with the way in which it is said. Government is not just to protect individual rights, it is to collectively do things. I have every right to defend myself, however I do not have the ability to defend myself against an aggressive nation. Therefore WE establish a common means of defense. I am an intellectual sort, so maybe I could educate my own children, but not everyone could so we orchestrate a means by which those who are capable educate all the children. I am not a doctor, so I can't take care of my own medical needs, so we provide a means to accomplish that. These are all community based mechanisms for providing what people need. And I think they are in the purview of the government.

@Jasper: I was trying to contribute. Maybe I don't understand your original 3 points very well. I see the purpose of societal systems as being simply to do those things we can't do singly. Right off the top of my head I would say that means protecting ourselves from criminals, protecting ourselves from foreign invasion, and building up infrastructure. I would add to that providing for basic needs (although I guess many would disagree), such as education, healthcare, etc.