Indeed, there would be tremendous interests for something like that, on both personal and national levels.

When you couple these interests with the fact that our planet is already overpopulated, there would most certainly be great disturbances until a fair and optimal global consensus on the medicine usage and distribution would be achieved, as you pointed out.

I also hold an optimistic belief that, when faced with the threat of total chaos, governments would find a way to make a global agreement sooner or later.

Like with nuclear bombs - as all sides begun to realize how dangerous a nuclear war would be for the whole humanity, the threat of this kind of war become lower and lower.