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.
Very taxing on the working memory.