Of COURSE Michigan will win. And of course Michigan isn't scared of playing them. But even assuming everything goes exactly as planned, there is nothing to gain. Who in the hell is going to say, "ah, yes, NOW we see that Michigan Football is superior to App State. I wasn't sure before."
Forget being the little brother; App State is like our 6-year-old nephew who beat us at a game of Horse. Sure, if we played them again and actually paid attention, we'd probably beat him easily. But we wouldn't take any less crap from the rest of the family.
Michigan didn't regain its Michiganness in 2007 by beating Eastern to prove they could beat cupcakes. They regained their Michiganness by beating the shit out of Notre Dame and Purdue, beating Penn State and Michigan State, and smacking Tebow around. THAT'S how you change the story. You don't challenge the 6-year-old to a rematch. You find the best player in the family and you take HIM down one-on-one. Challenging the kid again makes you look as embarassed as everyone imagines you to be.