yea, 1 both pulleys come off mount in one piece.
2 if it appears your pulley is wobbling, can it be your crank timing gear? be sure 1st. again if the pulley is wobbling and for how long, has crank gear taken wear/damage as well? thats a job, and not for a first timer, in my estimation.
a crank gear as a part isnt hard to find, if i recall, however stock VW price for that isnt cheap, ~$80 if i remember. the 'balance' serpentine pulley is expensive from VW, you may be able to find 'cheapies' at ~$130(+). i wouldnt recommend that quality for that part. but then again its your judgment and wallet.
whats the condition of the timing belt? visual? cause for one other belts and parts in adjoining areas are very far gone as you point out.