If we destroy the government and live in an anarchic society, we'll still have rulers.
They won't be politicians. They'll be gangs demanding protection money, people with the biggest guns, terrorists, and other fun figures.
Lets say the government collapsed, and the world fell into a state of anarchy.
Well, if the local Triads or Mafia stopped by your house and shot you, nobody is going to "arrest" them, since there isn't any more cops.
Now some of you will say "I'll just get my super duper D2000 super bazooka and blow them up!"
Obviously, you've never had the experience of taking on an entire gang of organised, well-trained killers. These aren't kids armed with knives, they're people who can put a bullet in your head before you turn around.
China during the 1920s is a classic example of anarchy. China's government only managed to rule the south-West coast. Most of China's west and northern areas had no form of government.
So what happened? Warlords took over some areas. Criminal organizations grabbed chunks. Local villages were ruled by whoever had the biggest and most guns. My grandfather lived through this; he was lucky, having joined up with a local warlord's army before he got into any kind of mess.
You want to live in that kind of society? Just topple the government, and say Hi to Mr Mafioso.