Have you ever been to a restaurant where your server brings you a drink? Have you ever thought how the Sacrament is the same way. Holders of the priesthood bring you the emblems of the sacrifice of the Christ. In that way, they are servers of the Sacrament, or more appropriately they are servants of the Sacrament.
Interestingly enough, however, they do not give the tray to every person in the congregation. Rather they give it to the person at the end of the row, and each person in turn passes it to his/her neighbour.
So in a way, the sacrament is an opportunity for each of us to be servants of those next to us. It is a way for us to set aside our differences and be united in partaking of the sacramental emblems and recommitting to a common covenant.