It's a poor strategy to subject a child to the indoctrination of government schooling in the hope that he'll reject it later. Government schools are amazingly effective in turning out secularists.
Please remember that 85% of children from highly active evangelical homes are NOT active in their faith 2 years after graduating from their godless government H.S. In contrast, 95% of homeschoolers are active in their faith. BIG difference!
I agree 100% with everything you say. I would shut down public schools forthwith if it were up to me.