Sure. And a large part of the point of global governance (whether EU, UN, ICC in Hague, etc) are to try and solve the collective action problem of morality, lab

Sure. And a large part of the point of global governance (whether EU, UN, ICC in Hague, etc) are to try and solve the collective action problem of morality, labour standards, environmental standards etc by collective agreement and collective punishment for breaking agreements. Arguing against this using "sovereignty" and other criticisms of international governance are arguments in favour of amoral and beggar thy neighbour policies. The right argument, IMO is to try and stay within such organizations and fix them from the inside.