if the whining dissappears entirely when the clutch is depressed, could easily be something as simple as the clutch release bearing

but with the gear crunching and vibrations and the like, it does sound a tad more terminal, when i took mine for its rebuild, i was told it tends to be the bearings collapsing on the end of the main shaft as a usual suspect

easy way to tell if its an LSD item if the box is off the car is to look through the hole where the driveshafts locate into, if u can see straight through, its an LSD item, if theres a bar running across, its not an LSD item