Isn't there also a law on the books in the US that permits 'exfiltration' of a captured US citizen from The Hague if it were ever to come to that?
prevents cooperation, extradition, etc and authorizes actions to protect citizens from the court
(https://www.congress.gov/bill/107th-congress/house-bill/4775)
> Title II: American Servicemembers' Protection Act - American Servicemembers' Protection Act of 2002 - Prohibits U.S. cooperation with the International Criminal Court. ...
> (Sec. 2008) Authorizes the President to use all means necessary (including the provision of legal assistance) to bring about the release of covered U.S. persons and covered allied persons held captive by, on behalf, or at the request of the Court.