What you're talking about is basically just the means by which a status quo is maintained... again, yes, there's parallels, but the point of the government is to support all the people and their ability to continue to live and prosper. The point of the mafia is to make money/power for a small percentage of people and keep their market position.

China will make sure you go to school. China will make sure you have rice to eat. The mafia will make sure they get a piece of your rice and the school's lunch money. They're a selfish organization concerned with profit and not social issues, whereas the government's position is that the people matter.

If you want to compare government and organized crime, the Yakuza are probably the closest to a formal government. For example, they have some legitimate business interests and different tactics for gaining influence in multiple markets, they're more transparent than the mafia, and they're often altruistic.