Hi Faber.
Private education provides morals, which prevents citizens from being violent, like those graduating from Godless environment.
How to abort, apply euthanasia on relatives, promoting evolutionism, communism and practices that destroy the family and the grow of population, like homosexuality.
The best examples of what does secular education to people are North Korea, Cuba, Venezuela, Russia, China, Vietnam, Cambodia, Laos, Nicaragua, Guatemala, Peru, Paraguay, Ecuador, Uruguay (tight now after decades of good conservative governments that made it a rich country), Bolivia, India, Sudan, Chile (is entering again into socialism sphere and it is about to make education public and forbid private education as you dream) and many others where people suffer the meddling of State on their lives.
Private centers of education have resources, the public everywhere at any moment run out of enough money, lengthening the time to finish studies. With the resources provided stably by the private enterprise, the Private educations gets the back up needed to do advanced research in any field of science, and without costing any cent to the government which later can be charged as high taxes, as effectively happens on the public sector.
This is why taxes in Denmark, Norway and Sweden are so suffocating, because those are applied to provide the lower classes identical benefits to what the higher classes enjoy, turning the businesses of those countries so much less competitive globally because everything that they pay in taxes, they try to recover in what they sell.
There are intermediate points, like the German policies of taxes and the general economy of the country. Scandinavian countries, are nice, but they were rich and participative before the leftist economical policies were introduced, those ones instead, caused the stagnant of any grow, particularly on population. The higher the taxes, the less people want to have children.