No, it's dead on. Governments exist to control behavior. Period. How they might choose to control behavior varies, but the purpose is always the same. Always.
What's odd is that nothing in what you wrote in any way contradicts what I wrote. I know a great deal about how governments function, but if you would like to point me to one that does not exist to control human behavior for the betterment of society I'm very open to hearing about it.