Did Jews Fight in Iraq?

In my opinion, the Iraq war was largely started by American and Israeli Jews who wanted to kill Saddam Hussein.  Deputy Secretary of Defense Paul Wolfowitz led the charge aided by many Jewish colleagues at Defense and other parts of the foreign policy and defense establishment, such as Doug Feith, and Dov Zakheim. Senator Joe Leiberman was a big supporter.  Of course, President Bush II was interested in showing up or avenging his father, Bush I, and played into their hands.  Dick Cheney just wanted a war to throw some money to his defense industry buddies, but he had his own influential Jew to help him, Scooter Libby.  

So, Iraq was at least in part a war for Jews and Israel.  My question is, "Did Jews fight in it?"  I think not, although my evidence is not very scientific.  I looked up a list of the names of those buried in Section 60 of Arlington Cemetery, who were killed in Iraq.  I hoped there would be some listing of how many tombstones have stars of David on them, but I could not find out.  Looking at the names, it's hard to tell.  There are a lot of Polish and other Slavic names that could be Jewish, or could be Christians of Eastern European ancestry.  However, when I searched the list for "gold" or "stein," which appear in many Jewish names, I found no hits.  If it were an Asian war started by a Christian, e.g., Korea or Vietnam, I could understand, but this was a war in the Middle East pushed strongly by Jews.