America's generals love to brag about their all-volunteer Army. That's because they tend to overlook Jeffrey Mellinger. He donned his Army uniform for the first time on April 18, 1972, about the time the Nixon Administration was seeking "peace with honor" in Vietnam and The Godfather was opening on the silver screen. Nearly 37 years later, he's still wearing Army green. Mellinger is, by all accounts, the last active-duty draftee serving in the U.S. Army. "I'm a relic," Mellinger concedes with a self-deprecating laugh. But the last of the nearly 2 million men ordered to serve in the Vietnam-era military...