That is a good point.
I'm not a fan of the confederacy but I find a lot of these monuments to be beautiful.
Considering the sculptors are long gone, and I see few producing art of that caliber, I can't see their destruction. Consider also, the near-universal plight of the foot soldier, regardless of when or where, too hot/too cold, tired, an often sleepless existence in close communion with the very soil which will all too eagerly drink his blood, oppressed by rain and snow and the ever present mud, establishing a fighting position only to vacate it going forward or back, with sore feet, sore backs, and an enemy to fight as well.
Any monument to any infantryman anywhere is a monument to all.
I'd wager not one of those howling to tear the monuments down have been a real combatant in uniform.