If it were me, I think I'd call them and say you would like to 'postpone' your induction, rather than just now showing up - they may be able to squeeze someone else in if they know you're not coming.
The way i see it, it's your birthing experience, and if you have no reason to believe the little one's in danger then surely a couple of extra days won't hurt. I agree with Snacks, too. An extra check may be in order and all that's required.
Lotsa luck!!