In all countries the world over, patriotism and military service know no boundaries, religion or otherwise.  Many Jews served in the German armed forces during WW I.  Members of the Jewish faith were flabbergasted in 1930s when German laws were changed to bar Jews from military service.  Those on active duty at the time were summarily discharged.
The greatest thing about our American way-of-life is: We can choose to serve in the military or not.  People from other countries desire to have these blessings and will volunteer to come join our military.  As for members of the Jewish faith serving in the US. military, I am a 4th generation U.S. serviceman and until right now, I never gave any thought to the religious mix of our military, regardless the faith.
Compulsory military service in Israel relates directly to the country being wedged into a geographically precarious position, and a day does not go by that their sovereignty is not threatened in some way.  If an Israeli citizen is serious in keeping their nation whole, their willingness to serve is critical to the country’s survival.  Citizens of the United States are blessed with an incredible level of prosperity and security compared to the rest of the world.  Faced with global hegemony on a massive scale in World War II from Germany and Japan, Americans at home and abroad had to step-up in some way to protect the lifestyle that so many of their forefathers had already paid the ultimate price.

Steve Miller, Copyright (c) 2008