I'd agree with the above posts, Sammy! My baby was a week overdue and only engaged a couple of days beforehand. But I've also heard it is not uncommon for baby to wait til labour to engage.
I think most hospies will let you go 10 days over before talking to you about induction... But c/s? I agree that it'd be wise to have a chat to him and find out his reasons. (Could be he's trying to make it more convenient for himself. And that's NO reason to do major abdominal surgery where its not medically necessary, IMO.)
You sound like you're onto it anyway