World Net reported on November 19, 2009 that President Obama was sending a delegation to the Hague and as Secretary of State Clinton remarked that the US will end its “hostility” towards the Court.
As Senator Obama was quoted Yes[.] The United States should cooperate with ICC investigations in a way that reflects American sovereignty and promotes our national security interests.
So we really shouldn't be surprised he would think the international court could supersede our own constitution. That was the main reason President Bush rejected the ICC saying "it no longer considered itself bound to the jurisdiction of the ICC."
Here's a What If for you: we've been using drones in surgical strikes in Afghanistan and Pakistan. Unfortunately, there have been some civilian casualties. With the new powers recently granted Interpol by Obama (see previous post), they could come here, arrest the person operating the drone and haul him/her in front of the International Court.
Scary enough for ya?