LOL. Docs are often so lazy and stupid when it comes to legal matters.
And "being active in the bar and everything" is ridiculous standard for an attorney.
Always look for an attorney who has actual direct experience in the state with employment issues specfically, doctor's contracts specifically, and get a lawyer with malpractice experience (they can help you look at that part of the contract), and a lawyer with experience with the medical board, the last two are just good to have in your back pocket if anything comes up. You don't want to be scrambling for good lawyers so do your homework.
Also go over laws pertaining to the medical board and malpractice etc in your state. Know your rights.
You can look online for these lawyers, look at reviews, call the bar association, and if there's a lawyer you know is solid you can also ask them for references for these lawyers they respect if they happen to know them.
If anything happens in the course of your work, like anything pear-shaped, always be sure to DOCUMENT DOCUMENT DOCUMENT. Sign and date immediately anything you write up about what's said and done (like if you get pulled into a meeting because a nurse writes a bitchy report about you), as close to verbatim as you can. Save in perpetuity any emails about that sort of thing. Go get them notarized too so you have the notary date. If it's a one-party recording state use that to your advantage too.
Yes if **** goes down suing is not going to help you keep the job if they want you gone, but having dirt to threaten legal action can get you nice things, like severance packages, confidentiality agreements, LORs for the next job, agreements that the hospital won't sue YOU going forward, etc etc.