You do know that US Grant’s Presidential Library is at Mississippi State University? Unlike the North, the South embraces its history whether it’s wrong or right. Harvard still shows animosity towards those that graduated from the university that served the Confederacy. One caveat, a Harvard professor researched secession and came to the conclusion that the South was right and Lincoln’s actions were wrong.
In the past it was rather different, and even now, some people posting from down there have strange ideas about what was right and what was wrong.
Harvard built a Memorial Hall in the 1870s to honor its fallen Union alumni. There's been discussion about whether to honor the Confederate alumni in another chapel where those who fought in other wars are named. So far it hasn't happened, but to honor them in the Memorial Hall (assuming there's room there, which I don't think there is) would be to alter the original meaning and purpose of the place. For whatever it's worth, I notice that Yale honors all its fallen alumni in all wars, but they built their memorial later, well after the Civil War.