First of all doctors kill a lot of people. But far from all of that is malpractice. Many operations carry a risk of immediate death. Patients are told that. They sign a form that warns them up front that general anesthesia carries something like a 1% risk of death. They know they are about to be cut up and this is a dangerous thing to do.
Now there is no question that malpractice exists and is a real problem. However if a doctor saws your chest open, cuts out your heart, and you die in the process, it isn't necessarily malpractice. Sure, the doctor killed you. But even a casual description makes it clear that you could die. It isn't necessarily the doctor's fault.
As for the other point, doctors who work in the ER may not hate cars. But they are sickened by the fact that people still don't wear seat belts. But that is a question of education.
My proposal for that is quite simple. What they used to get seatbelt laws passed was a simple device. A ramp. With rails. The frame of a car. And a barrier. Seat the person in the driver's seat and belt them in. Put a dummy without a belt in the passenger seat. Let go at the top, the impact is about 20 mph. The device is effective. It left people shaken and willing to vote for mandatory seat belt laws.
My suggestion is bring it back. Before you can get a car license you have to take the ride. A simple exercise in applied physics, part of your education. After they see the dummy fly out the window say, "When you drive the car, that passenger is your responsibility. Buckle up and make sure they do as well."
Cheers,
Ben