If the Israelis give you any trouble, notify the U.S. Embassy or Consulate (or the embassy of whichever country you’re from) of your troubles. The Israelis are afraid of messing or getting into trouble or bumping heads with American diplomats regarding causing problems for American citizens. (Actually with any foreign citizens but especially Americans once the embassy/diplomats start making a stink about the issue.)
Especially since technically it is illegal for American citizens to serve in the Armed Forces of any foreign nation. But it works regarding any kind of headaches the Israelis might make for an American or other foreign citizen.