Just installed one for my 8-speed auto and no driveshaft is needed. Also, the LSD part number they put on your quote is for the auto trans while the manual trans part number should be 33108659987. The $31.33 nut kit they're charging you for is included with the new diff so you shouldn't need that either unless you were installing a used diff.
I bought mine from MLPerformance and they shipped it to my door in the US for $1999 late last year. Here's the manual trans version -
https://www.mlperformanceusa.com/pro...d52cb805&_ss=r