Minarchists argue that society without government would be chaos. But the arguments they give against anarchy seem to apply with equal force against government.
For instance, minarchists claim that without government to enforce rules and regulations over citizens, people would have incentives to defect and hence social cooperation would be impossible.
But this argument also applies to government: after all, there is no government to enforce rules and regulations over politicians within the government. In other words, government itself is a society without government. So if the minarchist argument works, it would also show that politicians would be in a war of all against all, and hence government would fall into chaos.
Another minarchist argument is that without a government, private protection agencies would battle, and society would degenerate into gang warfare.
But how is government a solution? After all, there is no government to prevent warfare between the police and the military. Since government itself is an anarchy, the minarchist argument entails that the police and military must be in constant conflict, and that government too would degenerate into gang warfare.
Minarchists also claim that without government, there is no final arbiter to ensure that disputes are settled, and hence few disputes would ever get resolved, leading to endless conflict over rights, crimes, property titles, etc.
But this objection also applies to government. After all, there is no governmental final arbiter to adjudicate disputes among bureaucrats and politicians. According to the minarchist, bureaucrats and politicians will be in constant litigation, and couldn’t perform their task of protecting rights.
Thus, any argument against anarchy also counts as an argument against government, because government is an anarchy.
For more, see Cuzan and Long.