The only way I've ever seen a PhD recognised on abe drivers lisense has been with the title Doctor. Thus if the name on the ID was to be Joseph John Bloggs, I'd expect the name field on the ID to say :
Dr Joseph J. Bloggs
I've never seen letters from qualifications printed as part of the name/title on normal identification papers. Never seen PhD, BSc, BE, BA- none of them, so I'm sure the correct form is with just the title Dr.
Hope this helps,
...Anansi