As you pointed out, Madison and Hamilton as well as the other founders believed government was necessary because men's nature required it. I guess we need to decide if we are going to define words by what they mean or what we want them to mean. The prefix of Classical is joined to Liberal to make this distinction. It is not a matter of judgment but accuracy. Liberal as understood and used by the founders was defined as freedom.
Freedom is a state of being.
Classical Liberalism defines a body of beliefs, so does Liberalism, Conservatism, Libertarianism etc. We have to use the modern definitions or else qualify each remark so we understand each other. I have not discussed that topic and many others because you have not posed a question. I have been responding to your questions. At this point I was under the impression we were getting our feet wet with clarifying terms, labels etc.