It would seem unlikely that Australia would accept such a thing at any point in the federal era. Few countries like massive population transfers of aliens (in the neutral sense of the word), to an area that is under their control but only sparsly so.
I wonder if it would have been possible to do something similar back in the day, during colonial times, pre federation?
Or perhaps smaller population transfers, say settlements of 5000 here and there scattered across Australia.
I don't know if having a Jewish PM would necessarily help much either. NZ had one in the early days, one Julius Vogel and I don't see that he encouraged specifically Jewish immigration. He, iirc, kept up the focus on British settlement, but then he was British Jewish so I guess that makes sense