I hate to break it to you, but health care is already a for-profit industry.
throwing a capitalistic-optimizing 'machine' into health services has been a huge mistake which is seemingly impossible to fix... this is how systems collapse; when the system is so resistant to fixing its 'problems' that only changing the entirety (or a significantly larger chunk) of the system fixes the problems; but the problems have to be 'life or death' (or 'do-or-die') level for this to kick in.
the biggest issue is that for a level of the system there is no problem, people die anyways. but for another level of the system (the human individual perspective) this IS a problem. if/when the system ignores a level of itself it becomes unstable like it's happening now.