I think you are mixing words. There is a difference between having a bible there and being sworn in with a hand on the bible. As you can see in all cases they were very christian people who attached themselves to the bible and put great faith in the Constitution. Now if we can just get Obama to put great faith in the Constitution and adhere to it what a great country this could be. I believe you quotes Beck as saying "no other President had been sworn in without a bible." Oops there were bibles and you, I know you did not mean to, mislead the readers..
If the technically of hand on the bible vs constitution is the best you can find on Beck then what a great man he continues to be.


John Quincy Adams:
There's an interesting thing about John Adams and John Quincy Adams -- they were both very religious men, and John Quincy Adams were so religious that he is one of probably only one or two American presidents who did not take the Oath of Allegiance on a Bible. Now, it's kind of ironic that John Quincy Adams, being such a religious man, would not have used the Bible, but he said that he thought the Bible should be reserved for strictly religious purposes. So he took the Oath of Office on a book of laws, the Constitution and American laws. That's really what he was swearing allegiance to was the Constitution, so he didn't use the Bible.

Teddy Roosevelt:
Because T. Roosevelt wanted to show that Church and State should be separated. Although he was a devout Christian and Bible fanatic, he remembered that the US Constitution is very clear on that principle
.
Franklin Pierce:
The oath of office of the President of the United States is an oath or affirmation required by the United States Constitution before the President begins the execution of the office. The wording is specified in Article Two, Section One, Clause Eight:
“ I do solemnly swear (or affirm) that I will faithfully execute the Office of President of the United States, and will to the best of my ability, preserve, protect and defend the Constitution of the United States.