You can be a rabid fan, and can also be a rabid fan who is cold and wet. Are you expecting 110,000 shirtless morons foaming at the mouth and getting frostbite? If so, I suggest you travel south and paint yourself Scarlet and Gray.
I have endured just about every nasty weather game you can imagine at the Big House, and this one was no different. The heavens opened up, the students (and others) underdressed and that resulted in about 15,000 empty seats. Heck, it was hailing 30 minutes before game time.
If you want to go to the "way back" machine, you would have been REALLY disgusted at the lack of loyalty for the Michigan-Purdue 5-0 game in 1995. The band played about 90 seconds at halftime, and, as a student, I had the luxury of moving from my seats in the corner end zone to the 50 yard line....where no one was around me. There were about 20,000 people there by the end of the 3rd quarter.
During the Michigan-MSU game in 2004 where Braylon went off, the temperature dropped about 30 degrees during the game and it was windy as hell. A whole bunch of people missed the 4th quarter and overtime.
You could take this to the pros, as well. Who has among the most rabid fans in the NFL? Probably Green Bay. Check the Green Bay-Tampa Bay game in 1985. It snowed like crazy. Total attendance: 19,856. How dare those 40,000 other "non-rabid" fans not show up.
Bottom line- you can be embarrassed all you want, but weather is weather, and Mother Nature could give a crap if there's a football game in Ann Arbor. As much of a tolerance you or I may have, you can't tell people what they should be able to tolerate from a weather perspective.