I've started doing exactly the opposite. Almost every place I spend my money these days caters to reasonable people and quickly kicks out most of the riffraff.
I don't want to go to a business that caters to all customers, because being surrounded by annoying people is miserable. I want to spend my time in an enjoyable ambiance. "Take all comers" places typically aren't that. Doubly so for any place that serves alcohol.
The way I see it, it's not that I owe the business something for the privilege of spending money there - it's that the business offers me additional value, the knowledge that other people there are vaccinated.
You don't have to see it this way, but it's possible for people to see things differently from how you see it.
Unless it's the local baptist church telling you about the evils of the gays (right trusting institutions), or Jeff Bezos telling you that the institution which is Amazon is actually a good thing for humanity (left not trusting institutions).
Point is, these sorts of generalizations are generally wrong. Populist distrust of institutions exists on both political poles.
To me, it seems that showing your home address to every bouncer is a much greater invasion of privacy than vaccination status.
Drawing a parallel with a different topic - while I believe that drugs shouldn't be illegal, that doesn't mean I would support my friends being junkies. And I certainly wouldn't encourage people to become junkies just to spite the current unjust laws.
It's actually not that weird. Tracking cookies haven't caused 600,000 deaths and countless hospitalization. The "indignity" of showing your vaccine card, like the indignity of showing your ID to get into a bar or buy alcohol?
I originally brought up home schooling because people seemed shocked anyone can ask for vaccination records. I'm bringing up ID here because you seem shocked that businesses ask for additional records.