I think its possible Australia still has the White Australia policy for a few reasons:Especially the few liberals (more similar to OTL Liberals) will want a place to call their own. Australia would be a good place for these people to gather.
1. Racism and Eugenics have not yet been discredited.
2. Japan and China are both hostile nations to the west, which would probably worsen the "yellow Peril" fear.
3. Less global pressure to end it.