Build the schools, give every child fair and equal access to a good quality of education
After that I'm not keen on nudging of any kind no matter who's doing it
Schools should be private. There is absolutely no need for public funding of schools in a properly functioning republic or democracy. Why should I send my kids to a school that teaches things I disagree with or pay for it. The same could be said about a great many public institutions, which should be shut down.
Look at energy prices, we now allow monopolies in electricity delivery. Ontario has so much energy and some of the highest costs. Clean coal is perfectly acceptable, China is building new plants all the time (not even the clean ones). Perhaps the one thing that should be run and provided for by the state, Energy derived from public rivers etc.
Governments don't know how to spend or make money. They know how to borrow money and tax you. They know how to line the pockets of their special interest friends and create inefficient over regulated, crony capitalist beaurocracy.
Capilltalism is the system that works, the system we have now is not what once was, we need to go back to our roots and reevaluate. Unfortunately the people want a nanny state in this and many countries. Sad, but they will get it and eventually the 21st century Stalins start popping up. Look at Spain, look at the Catalonia.