GTR has 6 x 1 bolts on the half shafts (GTST has 5 x 1) so you would need to use the half shafts as well - although i think they will bolt up to your existing hubs, If you can get the whole rear end c/w brakes that would be easier of course but maybe not cheaper than getting a Nismo diff.
Have you confirmed that you do not have an LSD (jack up the car and turn one side by hand - the other should turn the same way for an LSD) or that it is not functioning properly (put your left hand side of the car in the loose and do a launch or perhaps something more scientific!)?