I'm currently watching episode 5 of Torchwood: Miracle Day and it looks like they are making a large problem out of the fact that no one dies. However while I can imagine why it may be problem in the long term it is hard for me to imagine the short term problems affecting a wide population.
I checked the data and according to Wikipedia the current world-wide yearly CDR is about 10/1000. i.e. each year there would be 1% more people. While in the long term it would affect, say, property prices, and hospitals would be overcrowded (although probably not to the extent shown), my guess is that there would not be widespread panic or a "dead is dead" campaign. My guess is that, at least in short term, the overpopulation camps would meet with high resistance from the population. How long since Miracle Day does this actually happen?
(PS. I know MST3K Mantra)