US healthcare and childcare are private, not government. Likewise I suspect much of the education cost is private colleges/schools, not government.
You seem to be arguing that the private sector is less efficient and more corrupt than the public sector.
That is easily the case if you aren’t careful. Private health insurance has a big incentive to drive up cost of the medical sector so they can take a few percent as profit. Defense contractors have almost no incentive to reduce costs, quite the opposite.
I guess it depends on what you call efficiency. If you define efficiency as extracting maximum profit then modern corporations are very efficient. If you define it as providing products and services at low cost, then they are inefficient.
What's Medicare and Medicaid and why do they cost the government over 2 trillion?
On a per capital basis, even if you don't include private healthcare spending, the US stil spends more per capita on healthcare than the other developed countries.
https://www.pgpf.org/article/how-does-government-healthcare-...
Because these are interacting with and purchasing services from a market-driven healthcare system which is optimized for profit, not health outcomes.
Medicare and Medicaid are expensive because we incorrectly apply market economics to healthcare.
None of that requires corruption. It's a mixture of over-commitment to market-based solutions and a bare minimum of empathy enshrined into law.