Do you think that had there been a Confederate invasion of Minnesota that had been routed by the Minnesotans, that there would be a memorial at the battle grounds memorializing the Confederates?
It appears there is already a Union monument at Olustee, or at least at the Cemetery. Has been since 1991.
I have no idea where this is in relation to the battlefield or the proposed site.
http://www.flpublicarchaeology.org/civilwar/monuments/olustee-battlefield/unity-and-peace-monument