All dental courses in Aus allow registration in all states and territories upon graduation. There is no difference in either taking the BDSc or the BDS course as both allow practice as a general dentist. The only difference, what I've heard, is that BDSc is more science based and BDS is more clinical based (correct me if i'm wrong), but both provides ample and sufficient clinical practice before graduation. So advice is don't be fooled by the adelaide uni's degree name as it only qualifies for a general dentist not a surgeon, unless postgrad work is done.
PS Melb uni is introducing the Melbourne Model where specialty undergraduate course (eg Law, Med, Dent etc) are being progressively phased in as Postgrad only. Law is set to be only postgrade from 2008 onwards. But Med and Dent have up to 2018 to make that transition.