Removing the fight button would not only remove BL hitting, but also inactive farming. It's a strategy that seems to be lost with all the parties and hunts, but it's still a highly effective way to make money.
Furthermore, PIMD wasn't Party In My Dorm to indicate this game was about partying. Parties came out about three years after this game was launched. BL hits were and are a part of the game. Deal with it. As Angel said, without the fight button this game is nothing but partying. There would be no point in buying tuts or stat items, etc. I haven't done much BL hitting since I last reset, but that was what made the game vaguely interesting to me when I first started. Without the fight button, this game would be incredibly boring. Just hit party, hit party, look for cat, hit party. -.-