I beat cars all the time on my bike and I'm in the midwest; I go 12-15mph while traffic goes maybe half that averaging for the lights. Splitting lanes means you go the same speed regardless of traffic and therefore I'm always at the front of the intersection at a red and the first to move on green, while that car I passed 200 yards ago has to sit through another light cycle.
Title says walking, not biking. In addition, cycling and walking are becoming less safe in the U.S.[1]. Also, enjoy your 20+ mile bike commute in the summers down here in Texas.