As soon as you involve a government employee to decide what the prayer will be about and how it will be conducted, you open it up to conflict. Most people have rather definite ideas about prayer and a lot of them have strong opinions. You also have the problem of those not wishing to participate feeling shunned or made to feel different.
We never worried about that stuff in the pre 60's. The vast majority turned out fine.
We can teach children good behavior and how to get along with others without scaring them with the devil and hell or an all powerful God that will be displeased if they live somewhat differently than some religious or government figure says is correct. Let religion be taught in churches or other religious venues.
There are many common ideas that run through most religions that can be taught in a secular manor. Like do unto others and a lot of what Jesus taught. Old testament not so much but even it and the Koran have some.
Uh....not working so well, is it.
I'd say you libs have had your shot. Now let's go back and do it right.
You have facts to back this up? Maybe some information to determine cause and effect too.