This will never happen.
Public opinion will be completely against any proposal to do this. Partly NIMBYism, but also legitimate fear of a bungled process which exposes the public to radiation risk (e.g. a truck/ship crash). This would also potentially tarnish the international brand of Australian tourism and agriculture industries, which both like to project an image of a clean and protected environment.
Any smart politician will recognise the nightmarish public relations battle is not worth the reward for them personally, so the project will never get a fair hearing to begin with.
Personally I would support the establishment of a nuclear waste facility in Australia in principle. But I don't think it will happen unless our economy goes right down the toilet and we become significantly more desperate for funds.