The worst way to die is exactly how most of us will- slowly, over months and years, in and out of a hospital, until we ultimately perish in an intensive care unit. And each and every one of us, in medicine, will play a part in putting someone (many, many someones for most of us) through that. Just some food for thought.
I actually don't think many healthcare personnel die that way. Most of us have seen enough to be very clear that once we start on that decline to not continue with medical therapies that just prolong the process (or at least we are all very good at talking about it now while in good health).
I feel very passionate about this topic. However, I've realized after many, many daunting family meetings that your average American will want and even push for EVERYTHING to be done for their "loved one," even when you explain that the best case scenario is life in a nursing home with essentially no quality.
So, I applaud your passion for this topic. Unfortunately, unless there is a systems change where certain patients don't qualify for certain therapies due to "futility," we will contribute to prolonging this painful process even if we don't want to.
Now, nephrology (think dialysis in demented patients living at a nursing home), neuro/neurosurg (only outcome is length of life, quality be damned) and oncology (living 3 months is a 33% improved survival compared to 2 months with aggressive chemo/rads/surgery without consideration for quality of life) are different stories. That, and a lot of us give up on trying to "protect" patients from suffering through "futile" treatments because we are tired of being looked at as the bad guys who want grandma to die.
I put futile in quotations because the current definition of futile only applies to unique cases with 100% mortality. Anything short of that becomes relative, and even if all doctors/nurses/janitors in the hospital agree that they would never agree to prolong life if it was them personally, you can't call it futile because you can't impose your values onto the patient/family.