I believe what is causing you so much confusion is that you are trying to match a brief re-enactor skirmish that, in part, serves as entertainment for the general public, with a full scale battle planned to show details of troop positions, action, and movements for historians.
It's a commemorative and memorial service to honor the battle and those who fought in it. As an added touch, they're having some re-actors to add color for the visitors, and there's really no need to complicate it beyond that.