Many of them are monuments at Civil War battle sites, graveyards, etc, and should stay. But most are in public spaces, like the one I can see from my office window that sits outside the Parish (County) Courthouse. Such as these serve no good purpose.
As an example, of which I presume most of these are similar, here is the one outside my office. You can see it here in front of the Parish Courthouse and a larger shot as well. I'll have to get a closer image later; it's an interesting statue that I believe includes a Greek goddess.
This first picture is the courthouse
This is the statue, 2 stories tall, in front of the entrance to the courthouse. It's set between the US and Louisiana flags. It marks the entrance to justice and the foundation of law and governance of the Parish. I don't think its location is "incidental" to the images it's meant to provoke--I don't think you can ever assume that images are accidental. (The top is obscured by trees, I'll see if I can get a better picture)
Our Parish was named after the the conglomerate of Caddo Indians (local Native Americans under one name) and the city and Parish seat after a river boat captain who broke up the "great raft"/"log jam" and innovated the riverway and economy of the area, allowing the river to become navigable while still floating logs from forest to sawmill, and finally allowing the area it to be settled. None of the history of the area is relative to the 5 people nor the Greek Goddess on the monument, and no Civil War battles were fought in this area (the nearest battle was in an adjacent Parish).
So tell me, what does this symbolize, other that Jim Crow era oppression of black by whites? There's no "history" nor "heritage" that this preserves, only hate and oppression.

