Answer: The Court should NOT.
Step-by-step explanation:
Previous Judgements by the Supreme Court affirmed that any State Law that requires children to attend Public schools instead of others violates the rights of parents to raise their children how they want.
Supreme Court however will allow the law to stand if it was passed for a compelling state interest.
In this case, the State requiring that private school children attend public schools so that they may raise test scores to a point where the state continues to get federal funding for those schools is not likely to be considered a compelling state interest and so this law will not be upheld.