One minor correction: UM is in the city of Ann Arbor, not Detroit (the two cities are approximately 45 minutes apart).
You call Michigan fan arrogant? Well, here are the facts: Michigan is college football's all-time winningest program, has the largest stadium in college football, and the school has over 100 programs ranked in the top 10 academically. They also regularly finish high in the Director's Cup race. But like any big-time football programs (e.g PSU, Bama, USC, ND, Texas, osu, etc.), arrogance go hand in hand with pride. There's nothing wrong with that. You'd be lying if you said PSU fans aren't arrogant too (see Pitt. I don't see their fans constantly attacking PSU program; it's the opposite from my observation).
I stand by what I said: visiting fans are generally treated with respect (save osu and msu fans).
GO BLUE