To correct a cross bite. how long do braces normally stay on following reconstructive jaw surgery?

Difficult to estimat: Each situation is unique. Best estimate would come from your oral surgeon and orthodontist. Given that you have gone through a lot , best not to rush -- to get optimal results. Hope this helps.

What else?: What else needs to be done? What type of cross-bite corrective appliance are you wearing? How severe is your problem? Is the orthodontist also trying to correct alignment, overbite, etc? There is no "normally", every patient is different. Ask your orthodontic specialist for the answer that pertains only to your problem.