to anyone" - if you do not comply with their request, you are a trespasser on their private property. You are free to spend your money where you are welcome, and it's not your job to be a dick and violate their rights to refuse service as they please. I take it you're in favor of forcing a bakery to bake cakes for gay weddings too.
2. In NYC, the vax/mask passport was a government mandate. The businesses had no say and their rights to run their business as they please was violated. The cops - the arm of the government- was there to enforce those government mandates.
https://www.independent.co.uk/travel/news-and-advice/new-york-vaccine-passport-children-indoors-b1972944.html