Was this brought over as a track car?
Depending on how different the Golf models are, this could be a huge pain in the ass. I know a lot of folks who tried to bring over cars (mostly "tuners" like supras, skylines, etc) and its months and months of hassle after hassle.
If that car was brought her under the guise of being a track car, it'll be an even bigger PITA to carry it over to getting a real title for it.
Good luck.. its not exactly easy to bring a car across borders, especially in NJ