In the U.S., at least some substantial portion of home schoolers are parents who want to prevent their children from learning to question their fundamentalist beliefs.

The impression you get from homeschooling websites is that the whole lot of them are fascist nutters terrified that Obama will poison their children with vaccines.

But maybe that doesn't reflect reality. This survey gives a picture I didn't quite expect:

http://www.austincollege.edu/wp-content/uploads/2010/03/Homeschooler_A_Snapshot_PPT.pdf

The differences in attitudes of homeschooled vs. school-schooled kids are in the direction I'd have expected, but they aren't large differences (perhaps in part because the whole of Texas is run by fascist nutters anyway). The one really dramatic difference is in how the kids cope with science, where homeschooling is a catastrophic failure - homeschooling parents simply can't teach it.