Interpreted literally, it implies the collapse of the idea of state sovereignty. States are our primary administrative unit within the international system. If they are unable to control the populations that (A) they have control over, (B) they extract revenue from, (C) they take care of, then our system of governance will collapse.
Which is why we need to move beyond a State-based model of political organization and lay the groundwork for global (or at least macroregional) governance in at least some key areas of policy.
As... Eh, whatever, "old fashioned", "bigoted", or so on as it sounds, I fail to see how, in a "democratic" system we could expect executives or even legislatures to balance the interests of the developed and developing worlds effectively, especially in the context of a million different cultures over which they would have to govern. You could probably find a million horror stories of the attempts of Europeans to impose their justice systems on "natives". These did not end well. Multiply this a million times over and have it coincide with unprecedented wealth redistribution. Your choices are immense complacence and bloody culture clash.