Here is my argument against anarchism as some alternative to what we have.

We ARE living in the end state of anarchism. We know how people will organize when there is no existing coercive power structure; they will form themselves into groups with rules and laws and enforcement. How do we know this? Because it is what people have done, over and over and over, when in that situation.

If all of the government were to suddenly disappear, groups would start to form, power would collect and disperse and reorganize, and certain people who are very good at that game (or have the right allies) will rise to leadership. The end result will be some sort of stable-ish arrangement of groups who control different areas and... here we are.