awfybig: You're not saving any time going up to Bridgeport to cross the Sierra on the way to SF. You might as well cross via Yosemite and say you drove through. (I suppose you would save the $20 park entrance fee by skipping it altogether.)
If SF attractions are the draw, then skip the side trip into Yosemite Valley proper. (Just make a right turn instead of left at the Crane Flat junction).