Getting back to the initial idea presented in this post, I like the idea of a single 2-point free throw, because I've always thought it unfair to make a guy hit two shots to get the same number of points as the one regular shot would've gotten him had he made it. This is especially true in the case of easy shots such as layups; as a player, I'd be thinking, "Wait, I just had a chance at an easy shot that would've gotten me 2 points, but now I have to hit two shots—from 15 feet away—to get those same 2 points?!"
Having one 2-point foul shot might also cut down on the hack-a-Shaq stuff, too.