Medically, as harsh as it sounds, the baby is incompatible with life. The quality of life medical technology can offer the infant is very poor. In these circumstances, I believe the hospital needs allow nature to take its course rather than prolonging the inevitable, wasting resources and prolonging suffering of the infant.
The Baby K case was incredible sad, but I would honestly say that Mother's wishes should have been overlooked for the sake of the infant. Rather than keeping the poor baby alive with invasive inventions (which often lead to infections and other complications), the baby should have been put on palliative care and allowed to pass away peacefully.