I absolutely believe in anarchy. Although to define oneself as an anarchist (in america) is a little futile because the ruling body has too many followers, money and guns to achieve it in our lifetimes.
I bolded 4 of your statements because they serve as the cliche, non-thinking response to any radical idea. Those are useless, and ill-based generalizations. How do you know those things? Who have you heard say them and why do you belive them? What about their scientific method makes you believe that they know what they're talking about? When saying things like that, it's better to say "i think"/"it seems" because in reality, there is no way for you to know it.
Which brings me to my next point - for all of you who think it's impossible, i have bad news for you, we live in a state of anarchy every day of our lives. The international political scene is an anarchic state, in that there is no central body that makes or upholds law for the individual actors. To say the United Nations is that body is to reveal how little you've studied international politics. The closest thing is the levels of influence among the actors, such as when the United States wants to get something done, it suggests it, some countries follow and others don't, but there is usually no penalty for not doing so. This illustrates how an anarchy state (oxymoron?) would operate.
My main point is that we are all anarchists. If you don't believe in getting to that point where we don't need some of the things that complicate our social lives, what are you doing in a society? The whole idea of our cooperate culture should be to continually elevate the society and maximize the standard of living for its participants. To me, anarchy is that final stage, when we've finally accomplished everything we set out to do and many functions of government are no longer necessary.
However, I will say that I think some form of law upholding agency is necessary, because you're always going to get things like a wife cheating on her husband so he kills her, things like that. So IMO a minimal police presence is necessary.