Then one would have to believe that a state religion has existed in this nation for over 200 years - we just didn't know about it until some progressive types pointed it out.
No, using a bible for an oath does not establish a religion any more than putting up a manger scene on a court during the federal holiday of Christmas does. Non believers are also allowed to take an oath without a bible. Since our nation was founded by Christians, we use a bible to swear in witnesses. It is not our responsibility to change our traditions to adapt to every malcontent who is offended by them. This is nothing more than PC nonsense.
For you to be correct, a state or local would have to be able to put up a manger scene on public property while denying the Menorah. It's not PC friend, it's the Constitituion.