Reread my comment. I said school choice. Homeschooling is one choice that is available; there are many others. The point is, immigrants don't have a choice. And, considering the pushes for limiting the need for english education for non-english speakers, those children probably won't be much better off than if they had learned at home.
Home schooling is not school choice - it is leaving the school system - which is fine - but it is no solution.