The risk these things pose to aviation is real. There's been a huge shift towards GPS for instrument flying. Cross country flying frequently relies on GPS to know where you are. Even more important, flying an approach to land now often uses GPS to keep the plane to a specific safe path, essential when flying in a cloud. A plane isn't going to fly out of the sky if GPS suddenly stops working, but it can make life awfully difficult.
The risk is not just theoretical. For example, in 2009 the Newark airport had a daily GPS failure that was finally traced to a trucker using a jammer, presumably to defeat a tracker enforcing safe driving rules. http://www.economist.com/node/18304246