We aren't just teaching our kids,
we're discipling them.
The thing is, this takes time. A lot of time. When you rise up, and when you sit down, and when you walk, and when you're at home, and when you're going along the road... you know, Deuteronomy 11:28-30. Which does not, by the way, say Thou shalt not send your kids to public school. I just don't see how you can have time to do the important things when the kids are gone most of the day. I don't buy the quality time vs. quantity time thing. They need both.
Shaping their character, nurturing their faith, teaching them not just what but why you believe all takes time. Their doubts and questions and struggles don't always come at convenient moments, y'know?