Physicians with their own practices might have low net worths, but they still have lots of assets to distribute in case of bankruptcy. IANAL, but a patient with a judgement would jump ahead of lots of creditors in such an event.
They can go bankrupt the second judge handles verdict, but this would definitely be out of scope of said person bankrupcy proceedings similar to your education loan cannot be included into bankrupcy. the judge proceeding in bankrupcy claim will clearly see whats this is about.