shydrager,
I'm pretty sure you could work here, and as a private neurologist, you could probably do quite well.
But you will need to find employment first. I think you should consider making a reconnaissance trip and (as Mat suggested) "hitting" all the likely places - which would be the foreign-owned private clinics and chains.
Try Parkway Health, Worldpath, GHC (Global Healthcare,
http://www.ghcchina.com), United Family for starters. Try to make appointments with the practice managers. If one of them wants to hire you, they will smooth your path. But you'll need to go through a process back home too - get notarised copies of your medical degree and specialist qualifications, then get those translated and "chopped" by the local Chinese consulate, then get that stuff sent over to China, etc etc etc...
It's all eminently do-able. I'm pretty sure you will be able to get work here.
The bottom line here is we must lower our cost base to make room for a lower margin product mix world and to grow our earnings going forward.