A quick update, I got a replacement diff from a salvage yard, I got most of the parts that I need, the dealership did not have the profile gasket (P/N: 31507527999) that goes between the diff and oil pan, they only had the o-ring (P/N: 31511213527).

I also did not get motor mounts due to extremely high pricing at the dealer and also availability where I live, the motor mounts were replaced by the PO anyways so its not detrimental to the job.

I will need to wait 5 days for them to get the profile gasket in, which is a bit of a dissapointment, I was hoping to have the diff replaced this weekend. But alas, I will have to wait for next weekend. I am really looking forward to pulling the diff and cracking it open too.

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Current Garage:
BMW 2001 325i 5spd manual
BMW 2006 X5 4.4l N62