You could try calling them up, hopping mad, and see if you could get them to make a house call. If they sold it to you new at full retail (or close to it), this doesn't seem too unreasonable a request.
However, I wonder if you would get any sound out if they hooked 2 grounds to one side. How is the bass? How is the level of the 2 channels? I would think if a cartridge were miswired, if you got any sound at all, there would be a big cancellation of bass. I also have a very vague memory of something about one set of leads carrying L+R and the other carrying L-R info, which might cause a big channel imbalance. Just reaching for ideas here, I haven't really played with cartridges. Maybe this will inspire someone who knows the subject well to fill us both in though. Good luck.