examples out there including "we don't give a #$!# for the whole state of Michigan" and lots of "Muck Fichigan" t-shirts in the stands.
Re: the flag, certainly mild, but in my opinion petty. I shared the flag example because it represented an activity implicitly supported/approved by the University itself (at least during the 4 years that I was there).
The Ohio State-Michigan rivalry is huge, but very ugly amongst a lot of "fans"