One more thing - don't hire a lawyer unless and until you really have to. A lawyer can actually get in the way at this point, and you can accomplish what you need to without one for the moment by being firm, calm, specific, and giving the appearance of being in control, assertive and authoritarian. In other words, make it clear who is in the driver's seat and that they're taking orders from you, not the other way around. Once you get him moved, get your family doctor in the loop regularly and use him or her as the primary contact. Make sure you let him know you expect him to be primarily in charge of the case because you don't trust anyone else.
It's still possible for you and your husband to find a satisfactory resolution to this hospital situation. I'm not sure where you are, in S. Jersey, Eastern PA, or upstate NY, but I suggest once your husband has stabilized and is ready to move, arrange (w/ insurance, transport, acoomodation, primary doctor, lab work, charts, etc) to have a full work up and consultation done at Sloan-Kettering Cancer Center on 5th Ave, if you haven't already. If necessary book a hotel room near Sloan-Kettering, my family members used "The Larchmont" which is about 250 feet from the entrance to Sloan Kettering.
Also, if you get to the point you retain a lawyer for the Jersey hospital, be very careful in who you choose, both your lawyer and the firm, many of the law firms in North Jersey do fundraisers for the hospitals, sit on the hospital boards, etc., with it's associated plusses and drawbacks. As Zezebelle said, don't retain a lawyer before necessary.
You can send me a private message and I might be able to suggest more with a few details. I worked for a agency selling long term care insurance and dealt with this at work and in my family in North Jersey more times than I care to recall.
I'm not a lawyer or doctor, and I'm not giving professional advice.