What you have to worry about even more when you're uninsured (or if your insurance doesn't cover it) is the hospital facility fee. One surgeon I went to charged $5,000 for lower jaw only. However, the hospital facility fee without staying overnight was $18,000. If I had to stay overnight, the facility fee would be $30,000.
You will need to find doctors who have their own surgical suite (they bring in a contracted anesthesiologist) to avoid this fee. The ones I know of are Dr. Kevin McBride (Texas), Dr. Stosich (Utah), and Dr. Dale Bloomquist (Washington). Bloomquist doesn't have his own suite, but he has a special deal with the UW hospital.