Government is community

Eh not really? Sounds nice, but the most important part of government is authority. If i tell my neighbor I will lock him in a room unless they pay their taxes, i'm a fucking lunatic. It is 100% within the governments right however to do so.

You don't have to have the monopoly on violence to be the government, but it's often a defining feature, and where their authority stems from. A bunch of people together is just a community, and has no legal or other form or authority. If one of them decides to start stealing from the others, the appropriate retribution is mostly going to depend on who caught them.

At that point you're closer to libertarian/anarchy which, technically, is a form of government, but often defined by its lack of one. You arguably have small governments all over the world where that's how it works, but there's pretty clean lines when discussing these things.

Hell technically it's not a government unless it's running a state which is where a lot of this stems from.