Madrassa? LOL. I don't even call that education. I more had the typical four-year curriculum in mind, forcing you to have at least some familiarity with such things as constructing a logical argument, the basics of physics, the arts, and so on--at least introductory, not necessarily cutting-edge stuff.
I'm not aware of standard college curriculum's requiring a person to take physics or logic/rhetoric classes. In fact I think that would be quite rare if there are any that make such classes mandatory. Most colleges' "core" requirements consist of a mix of classes, many of which are really just making sure you learned everything that you should have learned in high school (ie basic to intermediate math, english, an art class, a couple foreign language classes, etc.)
The idea that people who go to college are somehow more refined or something probably was more valid back when only a small percentage of people went to college. Now that nearly everyone with a pulse goes to college, there would logically seem to be the same percentage of fanatics and lunatics with degrees as there are in the general population.