The Supreme Court should be immune to all religious aspects in its rulings and actions. For them to pray before starting a court case would be allowing religion to enter into certain rulings. This is bad for everyone. Religious propaganda has no place in a room full of facts and laws. Religion has a place with Big Foot and Santa Claus.
The Supreme Court represents all of the peoples of the land. They should be able to pledge the allegiance to the flag. But there is too much of a myriad of religions to have the Supreme Court to have prayer before court cases. The ritual is not needed and unAmerican.