The best way to stop players doing that sort of thing, is make them wear slippers for the rest of the season (Pink bunny ones would work best IMO). They couldn't cause must harm then.
I think it's just hilarious that the FA banned Fagan for an extra game just for making a "frivolous appeal". So, the FA basically said, "You know Fagan what you did was so obvious I don't even know why you wasted our time, for that we give you a four-game ban instead of a three-game ban."