Your assignment: Diagram this sentence!
I'm running errands with my wife in a few minutes, but I'll try to tackle it later today. There are about three adjective clauses at initial glance.
OK, I'm back from my errands to take a shot at it.
As far as I can tell, there's a main clause (Why should they want to remain at a university), an adjective clause modifying "university" (whose president has dismissed the man), another adjective clause modifying "man" (who embodied the Christian scholarly excellence), and a final adjective clause modifying "excellence" (that brought them to Baylor). In grammar terms, it's a complex sentence, whose definition is one main clause plus two or more subordinate clauses.
If you like, I can break individual clauses down further (subjects, verbs, direct objects, adverb and adjective prepositional phrases, etc.), but we might both be in danger of suffering grammar overload at that point.