Most people I know do not care much about the monuments.
They are a part of history and a reminder of a history that still scars the land. They are landing pads for pigeon poop in most cases. But I am finding that as the left gins up more and more animosity towards the monuments a lot of other people are suddenly finding themselves caring about the monuments. It has all the makings of a negotiation with terrorists for many. Either tear down the statues or be shamed, boycotted, or ruined. That pisses off a lot of people who might not otherwise care, but who may have a mild familial attachment to their heritage.
Unfortunately, the political left will not allow anyone to have a familial attachment to that heritage. It is all hate all the time. We must ignore the actual history and the actual men and women involved in the conflict. We must reduce it to its simplest forms and everyone is expected to take the same side or be labeled a bigot or worse. Simply not caring is less and less an option. But that breeds a special resentment by those who do not want to care and resent being made to care.