There is no criminal organization Anonymous.
You are as much anonymous as anyone else is. If you don't understand how that can be then *shut the fuck up* about it until you do.
I imagine I am wasting my metaphorical breath, but I'll try to explain it as much as it can be explained.
Think pranks. Think prank phone calls and pizzas you didn't order, then imagine this done in a way designed to make you feel bad, then imagine that everyone who pranked you can see your face when you feel bad and laugh at you. That's about the limit of what anonymous will organize to do. All this breaking and entering shit is largely hacktivism done by people who aren't acting as anonymous when they do it, even if they may call on anonymous for help from time to time. And LOICers... they're just idiotic hangers-on. Angry and about as effective as egging someone's house. The effective DDoS attacks come from individuals (armed with botnets) and not some imaginary criminal conspiracy.
I am not an anonymous apologist, I am anonymous (and you can too). Wherever a little kid cries because someone told him he was fat, I will be there along with the baser parts of all mankind and we will be laughing at his misery. When those baser instincts band together to laugh at everything and nothing, there you have anonymous. Anonymous aren't criminals, anonymous is the internet hate machine. It's not good, it's not evil, it's simply humans being human--including the part of being human that we are all obliged to hide from society for fear of persecution. Anonymous exists so that you can be a jerk, a deviant, a racist and make jokes in bad taste knowing that **it's okay, we understand**, we both accept and revile you, too. Unless you're furry (DIAF, plzkthxbai).
There may be a global internet-based criminal organization out there which does bad things, harms people and needs to be busted by the authorities; in fact, I'm pretty sure there are several, but none of them are called Anonymous.