@SailorJerry - First of all, congratulations! How exciting that your baby will soon be in your arms.
Has your wife had a BPP (biophysical profile) yet? Being "postdate" is *not* a medical reason to induce unless there are signs of fetal distress or you go post forty-two or -three weeks. The BPP is basically a detailed ultrasound and a nonstress test that will check to make sure there's enough amniotic fluid, the baby is making breathing motions and responding well to contractions, etc. If this shows problems, then it may be time to induce, but if you haven't even had one yet, ask for it! Your doc should *not* induce labor without signs of trouble.
People in the midwifery community think that Cervidil is safer than Cytotec, which is actually not approved for cervical ripening. You might want to ask for Cervidil if they mention Cytotec again.
Finally, yes, Cervidil does sometimes work on its own to start labor. Good luck! I hope that you are able to wait for labor to start on its own and have the birth you're hoping for. (And it may be a little awkward at this point, but don't forget to try the best natural labor induction, wink wink.)