Should institutions divest themselves of racist traditions?

Some Native Americans and other Americans take offense to the name "Redskins," as in the "Washington Redskins." Sports writer Tony Kornheiser recently made an excellent point that one wouldn't go onto a reservation and ask "How you redskins doing today?" So should team owner Daniel Snyder change the name? Does it matter that many Native Americans don't care about the issue? Similarly, Clemson University has a statue and other honors for the fiery defender of slavery and secession, John C. Calhoun. Should those be eliminated?