Generally a bit suspicious of games made to make a point (they can be a little pretentious) but I quite liked this one. My thoughts about it below, hidden as I suggest you give it a go first:
Personally I thought the idea was that as you progressed with the argument, your character had moments of "enlightenment" switching your perspective. Finally you come down in the middle seeing the sense of both sides. However as you no longer have a strongly sided argument people refuse to listen.
The comments on Jay is Games have a couple of different ideas, how about you?