Arguably existing laws do in fact criminalise certain sports doping activity in Australia, but this obviously does not extend to all kinds of sports doping:
FlagPost: Is doping in sport a crime? (doping in sports pt. 5) There are some in Canberra agitating for the criminalisation of sports doping.
While I think such a policy would be fraught with difficulty, if it did happen, Australia would not be the first country to do so. In Italy, France, Spain and Austria it is a criminal offence to use a WADA prohibited substance in sporting competition, without any qualification on that sport have a WADA compliant anti-doping policy.
I recall reading about an early WPC world champs which was ultimately shut down (?) because it was being held in a jurisdiction where it was illegal, at that time, to hold an international sporting event that did not involve drug testing. It may have been South Africa, I can't remember.
If authorities did have the political desire to tackle doping in powerlifting (which I don't think is actually on the policy agenda at all, although many would like it to be), then there are other more effective policy measures that could be adopted to encourage people to participate in a drug tested version of the sport:
1) fund PA. The ASC currently does not fund powerlifting at all, effectively putting the sport on a lower level than say, Bocce (which does get Commonwealth funding!). PA has testing provided by ASADA for free, but no money actually passes to PA. Funding for elite athletes to compete in regional and international championships, or even to study at the AIS, would provide a massive incentive for the most talented athletes to want to compete in the WADA compliant version of the sport.
This would leave people with the choice where they want to compete. There are differences, aside from testing, between IPF style powerlifting and other feds which attract different people to different feds, eg rules, equipment, etc.
2) amend the ASC recognition model, to allow multiple NSOs in a single sport to receive funded ASADA testing. Currently, even if GPC or CAPO wanted to implement a WADA-compliant doping policy, it would be prohibitively expensive to do so on their own. As is seen from the ADFPA, which has a WADA compliant policy, but cannot receive ASC recognition, having a doping policy is redundant if you don't actually carry out any testing. The idea would be to give GPC or CAPO the ability to obtain ASC recognition if they meet the same requirements PA has to meet to get its funded testing. In reality though, this will not happen, because GPC and WPC internationally have no intention of being part of WADA and any alignment with those international feds would contravene the objects of the ASC. However, if an alternative fed came about, with no alignment with any international fed, and it met the ASC criteria, this might be a different story.
Of course all of this will change if, and when, the IPF gets full IOC recognition. If powerlifting gets into the Olympics, everything will change. I predict we will see the multiply feds develop into professional leagues and the IPF will become the ubiquitous amatuer sporting body. The best analogy I can think of is the situation in boxing.
Just a few of my thoughts on the matter.