Libertarian: Freedom without Responsibility?

Libertarian is a relatively new term for me. It can be left or right. The superficial view I have of American Libertarians today is like a teenager who wants total freedom but thinks he doesn’t have to take out the trash or clean his room or contribute to his household. He certainly doesn’t want to help his little brother with homework because that would impinge on his absolute freedom. He takes for granted the structure and resources in which he comfortably lives and exercises his freedom.

Libertarians support a free market economy (which is not really free but legislated to favor the few) and are anti-public institutions. Everyone is on their own. They don’t want a minimum wage and they don’t want to help those in need either. They are not concerned with the common good only what they can take.

I could be wrong with this view, let me know why I am wrong.