The state has banned , foxhunting, Harecoursing, smoking in shops/bars, the use of certain pesticides, capital punishment, breathalysers.
This has upset or inconvenianced some people but has benifited society as a whole. Your free speech point does not imho stack up
Fox hunting.... Animal cruelty
Smoking in bars etc.... Health and safety of staff
Hare coursing.... Animal cruelty
Pesticides.... Food safety and environmental protection
Capital punishment... Morality and risk of error
Drink driving.... Public safety.
On what criterion would you ban private education?