Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof;
As long as no law is made that leads to the government taking a position on whether or not the Bible was divinely inspired, then the First Amendment isn't being violated.
Does officially swearing "So Help Me God" with your hand on the Bible violate the First Amendment? The Founders sure didn't think so!
John Adams understood quite well that our government would only continue to function well as long as it was understood that the government does have a stake in promoting morality and religious expression.
We have no government armed in power capable of contending with human passions unbridled by morality and religion. Our Constitution was made only for a religious and moral people. It is wholly inadequate for the government of any other. - John Adams, 2nd President of the United States.