You're right. If the Christian homeschooled kids beat the public schooled kids (and I think they would) it wouldn't **prove** ID is correct. Nothing can prove either ID or evolution to be correct.
I agree. You are correct.
However, we can prove that Evolution is science and ID and creationism are not. (see my post #78).
And, since the issue is what we teach in schools, ID should not be taught.