Thanks for your response. Let's think this through...
First, yep, the state of nature is anarchy. That gets taught in school...Thomas Hobbes, Leviathan, 1650s I believe. (Hobbes went on to describe that state of nature as pretty horrible too.)
You ask why you would obey somebody else's rule over you. The simple answer is because of power. The graphic emphasizes that it is "wrong", and that's fine for you to make that judgement. But, here's the rub, I'll use a scenario. You're walking down the street, totally free and determined to not obey anyone. A gang of 10 strong men jump out, demand you hand over your money. This is wrong, so you say, "No." They commence to beating you up and they take your money anyway. Like it or not and despite your opposition, you still obeyed their rule. So, why would I obey another's rule, because of power. It may be wrong, it may not be "legitimate and lawful" like the graphic says, but that is the answer.
>Just because your were taught in schools that anarchy never "worked out" it doesn't mean anarchy is not "working out".
You won't like this at all, but this statement is exactly the argument that communists make. I know you despise communism, rightfully so, which makes the statement ironic. Communists today, if asked why it never worked, will typically answer something like, "No, communism, true communism as it is supposed to exist, never took place. The countries that tried it were all corrupted versions of communism. True communism never got a chance." And so, the phantom true communism is out there, mysteriously in the never-been-tried land waiting to be carried out and all will supposedly be perfect.
You do realize that in your statement "Just because..." one could take out the word "anarchy" and substitute in "communism", and the argument is the same, right?
When and where is anarchy working out? That wasn't answered.