The SPIRIT of the laws is as they are. The spirit of HIPAA is that your doctor, hospital, and pharmacist cannot share your medical information with each other without your permission. Nothing about HIPAA, either in written or spirit, forbids ANYBODY from asking. It just forbids non-permitted disbursal. And there’s nothing in the spirit or word of the law that forbids medical disclosure from being required for VOLUNTARY relationships. If you don’t want to share it with whoever is asking for it, end said relationship.
Then find another job. If they demand something you won’t do then leave. For instance I absolutely will not work for anyone that requires drug tests. I would pass, haven’t done drugs in decades, but I won’t work for someone that has that level of employee distrust. No coercion, I leave.
Nope not covered by ADA. If your have a valid medical reason, which one of my coworkers has, you can get it documented and get the exemption.
Yes they absolutely can. Just look at the various companies that refuse to hire smokers. Motorola, UHaul, a bunch of others. Because employment is a voluntary relationship they can make these rules, and employees can choose whether or not to comply.
I’m not telling anyone to assent to tyranny. I’m pointing out that your arguments are fallacious and silly. Your need to run to Godwin shows it.

“Then find another job”
AND
“I’m not telling anyone to assent to tyranny.”
At least be consistent, O’Brien, if you’re going to claim to be so intelligent, before you help them stamp their boots on our faces forever.