Just a note on this. While most of British law was incorporated into Australian law, one big exception were most of the above acts. This is because the Australian Constitution included the following section from the time it became active in 1901.
The Commonwealth shall not make any law for establishing any religion, or for imposing any religious observance, or for prohibiting the free exercise of any religion, and no religious test shall be required as a qualification for any office or public trust under the Commonwealth.
(If it looks somewhat familiar, it is because the text of the First Amendment to the Constitution of the United States as used as a starting model for it).
This section rendered most of the anti-Catholic laws that had passed in Britain over the years irrelevant within Australia.
There was some anti-Catholic prejudice here, certainly, but at about the time Father Rumble began his radio broadcasts in Sydney, Australia elected its first Catholic Prime Minister. He may well have experienced anti-Catholic feeling - I'm sure he did at times - but it wasn't down to the effects of Acts of Parliament.
Thanks for your input.