The K2 weighs just over 17lbs bare. Streamliner rack, panniers, water bottle, lights and a tool pod with flat-repair stuff it comes to 21-22lbs.
The Fuji is 34lbs ready to ride, BOB trailer and tote add another 16 pounds.....that's going to work. Add groceries for ride home. Weight doesn't make as big a difference as the lower range gears do.