So it is worth preserving in statutes that sit in public parks leaders of a violent rebellion that attempted to keep men enslaved?

That history can be learned by visiting a museum or by reading a book. 

We can not shoot losers of a war and still not put up statues glorifying them.

Remember when your a heaping your praise on the southerners that they wanted to destroy the country. They rebelled and went to war to keep slaves. Those statues were not put up to honor those men in their communities, most of them were put up later during Jim Crow as a middle finger to those wishing for desegregation.

The more you know.