The whole ordeal should take you about 2months at best. At least your car is already titled and registered (incorrectly) so you can drive your car while going through this. Also ask the inspector if you can drive the car to the inspection sight, your really not suposed to but since your car is already registered they might.
Best of luck if you want to talk give me a call or you can email me at work
908-377-2601
john.pitarresi@bernstein.com