It's not something that we like to talk about, but doctors die, too. What's unusual about them is not how much treatment they get compared with most Americans, but how little. They know exactly what is going to happen, they know the choices, and they generally have access to any sort of medical care that they could want. But they tend to go serenely and gently.
Doctors don't want to die any more than anyone else does. But they usually have talked about the limits of modern medicine with their families. They want to make sure that, when the time comes, no heroic measures are taken.