That would require a special federal copper aviation squad, wouldn't it?
There already is an AFP aviation squad, I believe their acronym is JAIT or JAT for Joint Aviation (Investigation) Teams....and Frank I think it should be:
1) CASA should regulate as as a CAA.
2) ATSB should investigate accidents/incidents.
3) AFP investigate breaches of the Civil Aviation Act.
4) CDPP should decide whether to prosecute.
The irony of 4) is that in JQ's case the CDPP decided not to prosecute...but the regulator decided to go on with it regardless!!