[bmj]

I live in a Rust Belt city, and most of the homeschoolers within the city are secular, and stridently so (and here there's greater overlap between homeschoolers and unschoolers). There are plenty of Christian homeschoolers as well, and their reasons for that choice are quite varied. So, you are painting with a very broad brush and making assumptions based on cultural stereotypes.

Personally, my wife and I homeschooled our kids through junior high school, in a mix of Christian cooperatives and homespun curriculum. One kid went to high school at the local Roman Catholic school, the other to a public school.