Out of 4 pg's I have only ever had one baby truly engaged before labour started and not once once has c/s ever been mentioned. I think your ob is putting the horse before the cart on this one and not giving you and bubs enough time. My first baby didn't even engage until labour had started and there was never an issue.

In some instances there can be risks of cord prolapse and I wouldn't want to have an induction if bubs wasn't engaged, but going straight for a c/s isn't the only option either.