The logic of state sovereignty

if the logic of collective action under the Articles of Confederation—the logic of state sovereignty—failed to secure American liberties as well as the ‘more perfect union’, the new Constitution established by the Framers in 1787 to replace it, effectively requiring states to cede sovereignty to a larger collective authority, why would the same logic of collective action not justify the UN as a ‘more perfect union’ to replace an anarchic system of sovereign states putting the world at risk in a nuclear age?