Seriously folks, it is time for both sides to realize that it is just sports and has no bearing on the salvation of man in any way. The reason the rivalry needs to go away is the general religious nuttery that comes from both sides.
Also, hate to break it to everyone, but there is a good chance that the majority of people who aren't LDS that you consider your good friends and they may even think the same of you, don't care too much for your faith, particularly if they live in Utah.