I love the idea of home schooling but it's simply not practical.
My approach is to teach them everything I can about the things they don't learn in school and also explain there's plenty of stuff they learn school that's either misleading or flat out wrong (with an explanation as to why I think that).
I also try to instill the idea of don't trust, verify.
Side note: My son is starting a business and economics class next year. It'll be very interesting to see how Keynesian it is. The school was actually looking for an economics teacher to teach the class. I jokingly said I would do it as long as I could do it my way. They seemed dead serious about hiring me, but I earn a lot more in my current role so.