The soft jaws sold by Cromwell fit MY P-B chuck on MY Myford ML7 , I posted this link because it was the only place I could find ANY jaws for imperial sized Burnerd chucks , if they haven't got your's that's bad luck.
Please explain how to fit an aluminium set over existing jaws , I can't see how you could fix them in place. The whole point of soft jaws is that they can be machined for a particular job , taken out and put back in the chuck without losing the initial accuracy. I have several sets , each for a particular production job that is too large for a collet.
You don't need to bore out a steel disc , the outer race of a large roller bearing is easy to obtain , very accurate and will do the job admirably , however the reground jaws will only be truly accurate at the ground diameter as the forces on the jaw teeth and scroll will be reversed from those applied when in actual use. Even so badly bell mouthed jaws can be improved using the method.