This is why everyone reading this can attest to the fact that they know more people infected in the last 2 months (most of whom were vaccinated) than the entire rest of the pandemic.
You have to wear pants, you can't drive at night without headlights, you can't sit in a restaurant yelling F*K at the top of your lungs in between bites, you have to get a permit to hold a music festival on the street, you can't post political signs on my property ...
Man is born free and eveywhere in chains, literally this is a solved problem from 260 years ago.
If people want to eat at restaurants unvaccinated in NYC they have a variety of options. They can eat outside in the stalls which often have heat and shields against the wind. They can order at home and eat with their friends who want to take that risk.
Going to a concert so you can more likely catch and spread a highly infectious virus and become more sick and hospitalized isn't some constitutional right.
And the value of not having people who'll willingly "limit someone else's freedoms" by spreading a virus they could be vaccinated against, well, at the end of the day, I'd rather "limit their freedoms" to use your term, then the person who didn't need to catch it anyways and is now sick or hospitalized. That sounds a lot more like "limited freedoms" than "Oh no, I can't see a play".
I think you're conflating getting a vaccine card with getting the vaccine.
Of course I'm also boosted and got my flu shot (and do it every year), so I'm probably already more conscientious living in NYC than many.
If someone uses a fake to get in... well... there's only so much I can do, but I discourage it for their own health and for the health of others around them. I flat out told my friend who did the same as such.
I'm sure he'd get through it, but why get mega sick instead of getting the vaccine at this point?