I currently have a J-1 (for four more years, no HRR). I am thinking about applying for an EB2-NIW. The question is, if I don't get the EB-2, will I have problems with traveling with my J-1? Can the officers at the airport know that I was denied an EB-2 and thus showed immigration intent?
Exhibiting immigrant intent CAN be a problem for J-1. It is not certain that you will have a problem, but the potential does exist.