I have never had anyone ask Can we scan your ID so we can have all of your personal Info.
They only say, Can I see your ID.
I always say of course and hand it over, They grab it and try then try to Scan the Barcode on the back. In my case it Fails.
Mostly they get confused, sometimes they go Nazi when I ask them logical questions like
Is my ID valid and issued by the state?
Am I obviously over 21 ?
Have you ever heard of the 4th amendment ?
Can I get a copy of your companies data retention policies ?
Do you know how many times your company has been hacked and/or had a major data breach in the last 10 years ?
What was the legal argument should I need such?
Your argument using the bill of rights is fines, except those rights don’t apply to any organization other than the government.
Just as one does not have protected speech in a corporation, they are not bound by the fourth amendment.
Stick with the security angle. You will have more success with that.