Why on earth would offering the Peace of Christ to a fellow Christian seem meaningless? If one does not profoundly wish peace upon every other member of the Body of Christ, one has to ask why. That seems a rather serious deficit in understanding and/or attitude.
I mean, you do want to spend eternity with these people don’t you? You do thirst for their total conversion to Christ as much as you thirst for your own conversion right? Or you at least want to want that, no? None of us has all of our desires in the right place, after all. Still, we ought to at least want to desire that God’s will be done, to desire what God desires. We have to start by recognizing that the other people in the pews are the stuff that saints are made of, and the only stuff that saints are made of. We are made of the same stuff, and probably in a less developed state. Humility demands us to recognize this.
Maybe you think of it merely as a pleasantry, and maybe that is the problem. That isn’t what the Sign of Peace is for. It is meant to be a solemn recognition of Christ’s life in and Christ’s deep desire for the other person. We approach Holy Communion in the recogntion that it is the means of nourishing your mutually-held life in Christ. It is a recognition of that you share the only life you have that means anything with that other person, even though you don’t know them. You know enough: that Jesus thirsts to have them be one with you, as He is one with the Father. That is enough. You don’t have to even like them. You only have to desire to completely love them, to have them entirely won to Christ. After all: the Christian life is nothing if not a communal life!
The love of God, after all, only becomes difficult when it starts to involve the real people that we actually have to live with. That is also when it becomes real.
Still, one does not have to like the various parts of the Mass, either. It helps, but it isn’t a necessity. One just has to do one’s best to cooperate fully with what the Mass is meant to accomplish. To find enjoyment in what obedience demands is icing on the cake.