I get what you're saying. However without a government you are simply relying on people to be good and fair to each other. I don't know how long it's been since you last checked the people state of affairs, but no matter how bad you think politicians are or greedy government is, the majority of people out there wouldn't pay taxes to fund education, roads, hospitals, law enforcement etc unless forced to do so.
Of course they wouldn't. And why do you think that is? It's because they don't get good value for their money. People still need schools, right? Therefore, schools will be built. People still need roads, therefore roads will be built. People still need healthcare, so it will be provided. The only question is at what price and of what quality - the answer to it being at the quality and prices the market wants it to be provided.
Then, of course, there's this argument that the poor will not have enough to get those things. Well, let's look at other industries. Have low cost airlines made flights accessible to almost anyone? Yes they have and this happened only after the industry was deregulated. Or do only rich people have cars? Or anything, really? Why is it such an impossibility that private protection companies and private schools and private healthcare can be cheap and accessible?
And to address your other point:
>However without a government you are simply relying on people to be good and fair to each other.
And with a government, everyone relies on people in that government to be fair and good. Except that when they are not, you can't stop paying to them.