BAGHDAD, Iraq — Pfc. Justin Bellatti smiled and waved as flocks of pretty young women strolled past his patrol at Baghdad University. Bellatti’s unit, the Baumholder, Germany-based 1st Battalion, 6th Infantry Regiment, was in charge of providing security at the university last week during a series of lectures by instructors from the U.S. Military Academy at West Point, N.Y. Providing security — and girl watching — is pretty good duty, and the troops of Company A knew it. “A lot of guys try to talk with the Iraqi girls. I just try to concentrate on the job,” Bellatti said. “It’s...