I was an Art History Minor in college. I took the classes because I loved looking at art, and because they were the complete opposite of my political science Major courses. Very relaxing and rewarding to look at slides of art in a dark classroom.

I don't think it help me doing convoy security, but it definately broadened my mind and made me notice subtle things like architecture, designs, etc... in everyday life. A critical exposure to art would definately help shape how people see the world and others. If you want to understand people, find out what they think is beautiful and special. It also helped me impress my girlfriend with lines like, "This looks like a Carravaggio" and it turned out to be a student of Carravaggio.