Sorry, SOMFW, but though I agree with a most of what you say (including trading malpractice suits for changes in mode of compensation), the part about doctors needing to cut their pay is just not based on fact. Doctor net compensation is only 10% of the total healthcare cost. Interns/Residents who provide much of the care in hospitals make about the national median salary ($40-50k). You could cut doctor salaries significantly and barely affect the cost of the system.
Do American doctors get paid too much? - By Christopher Beam - Slate Magazine You might, on the other hand, affect the quality of the applicants for this 20-25 year education. The average doctor makes $137k after 23 years of training. That is probably less than her/his student debt, and that is
average, not starting pay.
The specialists who make substantially more train longer and are fewer and farther between for basic care. Many are also involved in elective procedures such as plastic surgery or Lasik.
On the other hand, there are things we could do to ease the pressures on physician salaries. One is to shorten the education by removing the requirement of a BS or BA degree in something else before starting medical school. In most European countries with the better medical programs, students major in medicine (or law, for that matter) from the time they enter the university rather than getting a degree and then entering a professional school. This cuts at least two years off the process and adds to the length of a doctor's career without sacrificing quality. The cost of those years must be paid by the system somewhere.
I also agree with getting payment for medical mistakes into a different system. However, remember, medical mistakes are a huge cost to the system with or without jury awards (medical cost of mistakes close to $20bn), and they are a humanitarian cost, so practicing in a manner that might make those mistakes more likely (i.e. eliminating "defensive" medicine) does not save as much as some like to argue, and direct cost of malpractice insurance is a little more than 1% of the total healthcare bill.