I like the suggestions about checking it out first. Check the shaft's diameter at various places and check it with an indicator to see if it's true. Mic it to check for the diameter and compare that with the pulley.
For the pulley, I would first just check against a flat surface, simply such as your granite table (not even precision table).
If the shaft is bad, then that would need to be trued up.
If the pulley is the problem, my suggestion would be to find yourself some fire bricks and heat this up to certain temperature and prepare to true it up some how (clamp, etc.).
But ..., what if the pulley is not bent, but its center axis is not the same as that of the outside? Maybe make a tight fit rod, insert it in and check it with a dial indicator as you rotate it? If it's bent, maybe heat it up, weld it then drill it out with a mill or bore it with a mill and put an adapter into it (better idea)
But the experts here probably have better hand on experience and advice