[How do I?] align existing hole pattern to rotary table

I may just be "under thinking this" why don't you zero the table degree markings first, then indicate the part to the RT may be overly simplistic but could work?
 
You do not need a rotary table at all to do this job. Simply make a tracing of the chuck's hole pattern, referencing to the ID. Then transfer the holes from the tracing to the backing plate, locating off the existing holes.
 
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