I think you got the wrong idea.
To me, with how often it's been seen in the book, and the behaviors of supernatural entities inside of it (gruff not killing harry when he was in the pub for example) It's not something you stumble across at every second block. A place has to be Special with a capital S to become accorded neutral ground. (the very fact mac's is accorded neutral ground. and harry's comments about it speak volumes. Mac did something big or pulled serious political strings to get it)
Just because their the only care providers doesn't mean they have to be neutral ground, As seen in the dresden files society usually ticks along quite fine. There is no reason the hospitals have to have any special protection.
Additionally, what your talking about is not something to take lightly. You throw it around and you cheapen it. You use a trope to much and it becomes a clique and loses it's value and impact. To have all the hospitals be accorded holy church ground. Sounds ridiculous.
Be more subtle and precise when designing a city. Instead of having all the things lumped in one place, seperate them. and put them in a place where it both makes sense, and the element can shine. Also give it some flavor, make it special and unique, make it fit the location and city.
Holy ground? Why does it have to be the white god's holy ground? Spokane was named after an Indian tribe right?
http://en.wikipedia.org/wiki/File:Spokane_Falls_1888.jpg Why not have Spokane falls be Indian holy ground.
Want some neutral ground? Didnt spokane used to have major rail business a hundread years back? Have one of those old rail hubs be neutral ground. Made even more interesting by the fact that business is long gone, and the train station is now probably used for something else. Want to meet safety with the vampire? Okay, he will be in the gift shop. :-)