The Sauron-Schicklgruber Paradox

Sheldon has discovered that Leonard still has the One Ring and a wrestling match between the roommates ensues. In the struggle, Leonard is accidentally (or not) sent back to WWII Germany, where he is rescued by a certain group of Unsung Heroes completing a mission of their own. Can Col. Hogan and his gang save the Manhattan Project and send Leonard back? Also w/ LotR references.