Under this philosophy (or doctrine, if you will) of sovereignty, US will never accept that the ICC - an entity that the US citizens have not explicitly delegated their sovereign power to - are trying to prosecute US nationals.
https://en.wikipedia.org/wiki/Popular_sovereignty_in_the_Uni...
How so?
If you visit a foreign country, you are making an explicit choice to enter their jurisdiction.
If you are extradited from the US, it means the government (your representatives) explicitly chose to cooperate with another jurisdiction in some manner.
The current case is somewhat confusing to me. The US doesn't participate in the ICC. The matter to be investigated apparently occurred in a country that does participate though. But the suspects were part of an active military operation. Unlike a tourist, it doesn't really seem like armed forces are usually subject to the laws of a jurisdiction they might "visit" during combat (typically quite the opposite in fact).
If someone from outside your jurisdiction threatens your citizens, isn't any capable government supposed to take actions to protect them? To me, the real question here is why the US isn't part of an international effort to prevent war crimes.
The worst of the worst war crimes will be prosecuted in the US as well, but generally, soldiers have little to fear. A non-US court wouldn't have the same perspective.
Essentially: if you want people to do whatever it takes to get your mission done, make sure they're not liable for anything they break while doing so. That goes for the military as much as for tech companies. Tech companies just don't have armies to back up their stances, yet.
That is the point of the ICC in the first place: you cannot trust the war criminals to bring justice to their society.