I had a church history class in college, and one of the more interesting things we did was have a field trip day. We went to the cathedral in Little Rock and spoke with one of the priests and got some of his perspective, then we went to a synagogue and spoke with the rabbi there (it was Rosh Hoshanah and we weren't allowed to take notes in the synagogue that day), and then we went to the Greek Orthodox church in Little Rock and spoke with the priest there.
Of course, we did textual studies and historical studies as well (and our protestant teacher told us that the split happened in the early 5th century at the fall of Rome, until which time the bishops of Rome and Constantinople had both risen to relatively equivalent positions of scripturally unsupported preeminence within the church)