Here's an example of the kind of liberty homeschooled kids have. I don't know this family; I've never heard of them until I came across this blog entry. But this is very common, in my experience, when it comes to how homeschooling families function today.
How many schoolkids have this kind of liberty? Frankly, how many school teachers have the liberty to discard their lesson plans because a better learning opportunity came up?
I just don't understand how a person can contend that forcing a child to sit in a school classroom 30 hours a week, 36 weeks a year, for most of their growing-up years, is in any way libertarian. Homeschooling, on the other hand, while not ALWAYS libertarian in the way it is executed, can certainly be done in such a way as to fit beautifully with libertarian ideas, and it generally IS done in a way that provides the child with far more liberty - both today and in the future - than a public school education can.