Here is a video of the transmission side of the drive shaft:
Nissan 370Z Drive Shaft Vibration - YouTube
The car is going into the shop where the clutch was recently installed. The mechanic will look at the u joints, and the drive shaft. As well, he should be able to check on the transmission position.
Hopefully it's just minor, and it's not the LSD or anything significant. I'll keep you guys posted - thank you all for your comments!