I think an appropriate response would be essentially a “force option”.
Once a destination has been determined, get some sympathetic medical personnel, and half a dozen strong-arm men along with a gurney and ambulance crew. Then, in the early hours of the morning go in and take him.
Admittedly, the strong arms will likely be arrested, and that should be part of the plan that if the hospital staff or security interfere, that it is the strong arms who will be the focus of force as the patient is spirited away.
It will take months or years to get it all sorted out in court, and by then the patient will likely have died a natural death.
But it will cause reverberations throughout the medical community and likely the government, to the effect that people will fight to keep their loved ones from being medically murdered.
So a battery of sympathetic lawyers should also be standing by, since the real battle will be in court.
I think an appropriate response would be essentially a force option.
And not just for circumstances like these.