The irony is the state government in many instances has defacto prevented it in many states, even before the overturning of Roe. In a lot of states the governments passed laws making it so egregiously difficult, both logistically and financially, for small clinics to provide even simple abortion pill services, that every clinic was forced to close. This leaves only the larger hospitals, which are, you guessed it, religious institutions.
The long and short is, our country is a shit show. That said, I still do not think people should be able to deny medical care or government services (like marriage licenses) to others based on religious beliefs unless there is someone else immediately available to provide them instead.
Boy would I like to live in the America that you think exists lol. Nearly 20% of US Hospital beds are at religiously affiliated hospitals. According to the Catholic Health Association 1 in 7 patients in the US are cared for in a Catholic hospital
They’re not a “drop in the ocean” - they’re prolific and everywhere. This is especially a problem in rural locations where they are the ONLY hospital. Even places that are metropolitan outliers, like a place I lived in high school, have issues because it may be a 30-45min drive to another hospital, that may or may not be covered by your insurance.
You think you understand the problem, but it’s way bigger than you realize.