Off the cuff I would say the new license will still identify the person. Immigration status would only be a CIP issue if you do not obtain a TIN. Most institutions still do some form of non-documentary verification since a DL alone is really not sufficient considering the rampant market in counterfeit ID's and the fact the most states do not re-issue a DL just because someone has moved.
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CRCM,CAMS
Regulations are a poor substitute for ethics.
Just sayin'