I am generally for maintaining historic statues and other items. Having said that, I can understand why maintaining these items might not be something a city wants to do on its dime in this day and age when most cities are running a deficit using tax dollars to take care of basic needs like road repair and trash pickup, and I would favor the statues being given to private parties to keep and maintain. Private museums, etc would also likely be able to keep the statues safer and in better repair than putting them out in the middle of the public areas.
However, setting all of that aside, this march on Charlottesville was a Richard Spencer production. He is a “white nationalist” aka open racist. I find a number of the alt-right guys like Molyneux and Cernovich to be interesting, even if I don’t agree with everything they say, but Spencer is just bad news, period, on par with Westboro Baptist for agitation value. I also don’t think much of the antifa who show up with the intention of punching out Richard Spencer and his ilk; I understand why they might want to do this, but I don’t condone violence in the context of free speech.
In short, the whole thing was just a mess, and if stuff like this is going to happen around these statues, then cities need to move double-time to work out some plan for them, whether it’s putting them in private hands or something else. Assuming that I want to preserve a statue for its history value, I also do not want a bunch of protesters making it the center of a riot, which may well end with the statue getting harmed as well as people being hurt and property being damaged, none of which is OK in my book or somehow “justified by rage” or any of that.