It's obvious to anyone using common sense that we should begin by removing the most overtly racist statues/monuments glorifying the Confederacy. While that process is ongoing we can have a more nuanced debate and hammer out the details going forward. People who support the 'alt-right' are using the talking point of, 'What about statues of X, Y, and Z,' as a a delay tactic while they try to come up with a valid counter-argument for the removal of Confederate statues. Setting that aside this isn't so much about who we were but rather who we as a nation want to be. I've seen some people saying that polls have showed a majority of Americans want to leave the statues alone. It reminds me of before WW2 when most Americans didn't want to get involved and fight Nazis in Europe. They didn't care until they were more or less personally affected by the Japanese attack on Pearl Harbor. Now the histories of that era have been written we refer to them as the, "greatest generation," for kicking Nazi ass.
Confederate monuments should be converted into museum bathroom urinals to preserve their true historical value. It might be a harsh truth but it is still the truth. General Lee opposed the construction of Confederate monuments after the Civil War because of their inherent racism (he thought it might cause social unrest apparently). That's why most were built during the civil rights movement and before that during the Jim Crow era. The way they went about building them in and of itself contradicts the talking points being used to defend them.
What's the difference between Confederate monuments built after the Civil War and Nazi monuments built after WW2? Trick question; Germany didn't commemorate crimes against humanity and losing a war by building participation trophies.