The band sings "our boys are fighting" as well, so you're not the only one!
I've always sang "our boys are fighting"
...I also made it a point to learn the Alma Mater and the Fight Song the first month I was on campus. I didn't want to be the bumbling fool in the crowd who doesn't know the Fight Song (although, far too few Ohio students know it, as Monroe said. We need to change that!). I still sing it when I hear it on TV, or really any time I hear it at all (i.e. if I heard WKU or Montana or SE Missouri State playing THEIR version, I would still sing ours.
http://www.youtube.com/watch?v=ZrKkvGBHx6w)
...also, also, I don't recall "Rah, rah rah" on there, either.