I've taken political science classes at both the University of Wisconsin-Madison and the University of Illinois at Urbana-Champaign. Unless you're into partying, I wouldn't advise going to either. Hell, I'm sitting typing this right now while in a political science class; haven't paid attention to really a single word in the lecture yet I can state with 100% certainly I will get ~95% in the class. I'd say UW/UIUC/Michigan/Indiana/Colorado/Mizzou/Florida/etc. give you the more classical American college experience, but aren't too big in terms of intellectually stimulating an inherently vapid subject.
Madison! Known for parties and riots.
Riots don't really happen anymore. State street during Halloween is pretty tame; you can't even drink outside. Mifflin is basically the equivalent of similar events that happen at all Big Ten Schools.