Hinrichs totaled 10 points and a game-high 12 rebounds to help Lafayette (12-13, 5-3 Patriot League) outrebound Navy 35-24 and outscore it in the paint 24-16.
Navy (7-17, 1-7) scored the first eight points of the game, but Lafayette fought back to take a 14-12 lead on Rufer's 3-pointer at the 11:04 mark. Lafayette led at halftime 35-20.
Lafayette shot 52.2 percent (24 of 46) while holding Navy to just 37.3 percent (19 of 51).
The Leopards led by as many as 25 points.
The Midshipmen were led by Worth Smith with 13 points, but he was the only player for Navy in double figures.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.
College basketball fans should be excited about next season's Jimmy V Classic, an event that will feature Duke's heralded freshman class.