Not all problems that government has to address are government created though. Crime is going to happen whether or not we have government involvement as an example.
Crime is not a government problem. Crime would exist at some level with or without government.
But it is something that government tends to have to deal with. Also, government problems can certainly affect a subset of the population. For example, an administration snafu in the military might only affect military folks or even a subset such as a unit or platoon.
Crime is a societal problem.
Look at the top issues people are worried about?
Healthcare
Economy
Unemployment
Budget Deficit
Terrorism
Foreign Wars
Environment / global warming
The part of healthcare run by government - Medicare / Medicaid
The Economy - owned primarily by government and has to do with taxes and spending of a national budget.
Budget Deficit - included National debt.
Terrorism - Not the act itself but the response and the expense of blood and money to combat it - run by the government.
Foreign wars - all runby the government 100% as States and individuals cannot run wars without the government.
The Environment - partly involving the government - as in the EPA, laws, money, tax, ecology, science, etc.
The only issue I think is shared equally between Government and the private sector is the Environment.
My point is simple and I'm not sure your getting it yet. The issues senators, house members, Presidents, administration members talk about endlessly, are primarily things that are not right, must be fixed, or things that will soon break or lately - bankrupt our country. Politicians talk about sacrifice, tightening belts, paying MORE to help pay down debts which are unsustainable. How did things GET unsustainable? Well... government let them get that way. Our villain is the savior and the savior is our villain. The people who bankrupted us and who claim they are taking steps to save us all are one in the same.