Did I discover the difference between anarchy and Libertarianism?

[FEMA Camp Administrator]

Given I have far too much free time to do things of little importance but can't seem to get my homework done, I have thought about this subject. What is the difference between the Anarchists and the Libertarians? Finally, I think I've got it. Libertarians are anti-government. They despise military, economic, and social intervention. However, while anarchists might agree with that whole-heartedly, they despise other forms of authority as well. They despise big businesses, big Churches, etc. and would prefer that they all be torn down by "the people". Thus, anarchy could be deemed as the left-wing of the anti-authority types while Libertarianism seems to be more about letting things succeed or fail as they will and in contrast to anarchy would be the more Conservative wing of the anti-authority types.