To address only a tiny sliver of that massively one-sided view of yours: At least in many European countries, publicly-funded universities train the scientific, engineering and managerial talent these corporations need.
There is another poison pill hidden in the public services: because they look free to the economically untrained eye people tend to overuse and overconsume them. That's why you see so many college graduates in careers that end up having no work use, thus becoming wasted human capital. If people had to pay for their education they would see the costs up front and be more efficient with their decisions.
As you said, these are "monopolistic public services", so for me it doesn't make sense not to have healthy people insured. The more healthy people are insured, the lower premiums are payed by everyone, and in case of crisis, no one gets left behind.