Then you would be happy with the following conclusions to those examples?
C) the chairman of the same city council standing up before every council meeting and saying “let us all bow our heads and join in offering a prayer for guidance in this meeting” and proceeds to pray aloud. “Almighty Athena, Gracious Goddess of Wisdom and Governance, please lend us Your wisdom as we hold our meeting here today. Each of us asks that Your guidance fall upon each and every one of us as we are gathered here, that we may make decisions that are in accordance with Your will, which we know to be superior to our limited human understanding. In the name of the most wise and gracious Athena, Amen.”
D) the teacher in a public elementary school calls the class together by the bus before leaving on a field trip and says: “let us all bow our heads and join in prayer for protection as we travel on our field trip today” and proceeds to pray aloud, offering libations and prayers to Athena and Hermes: “Almighty Athena, Gracious Goddess of Wisdom, please lend us Your wisdom as we approach our studies today. Let Your guidance fall upon each and every one of us as we are gathered here, that we may honor You by our efforts. Swift Hermes, Messenger of the Gods, protect us as we go on our field trip, guiding and guarding all our travels so that we may return safely, held in Your protective arms. Accept these offerings of oil and wine on behalf of everyone present in token of our gratitude to You for Your gifts. In the names of Athena and Hermes, Amen.” Then pours oil and wine on the ground as a libation before the children board the bus, perhaps offering one of the children the opportunity to do the pouring.
These are the prayers that I would be saying and actions that I would be taking were I to follow your suggestion to freely exercise my religion in a role as a representative of the state. Please note that I am also just as much a “product of Christian belief” as any of the Founding Fathers, having been raised in a very thoroughly Christian saturated community and home, attending church every time the doors were open and more.