It's still a Bible. It's still a religious text. If the conservative members of the Supreme Court want to make a precedent out of allowing Bibles to be distributed in public schools again nothing will stop them, and this pretext wouldn't make it any easier because it's STILL A RELIGIOUS TEXT.
So no, this is not why they're doing it, but nice try anyway at rationalizing their bullshit, I know you see it as your job and I'm sure you did your best.
Also, this isn't what many of the Founders believed, but you go ahead and keep propagating that lie.