(Denny Crane: "I Don't Want To Socialize With A Pinko Liberal Democrat Commie.Say What You Like About Republicans. We Stick To Our Convictions. Even When We Know We're Dead Wrong.")
The first Prime Minister of Australia, Sir Edmund Barton, was so furious with Canadian Senate structure that he literally said that Canada has a "banal federalism".
Australia's Senate has equal representations for all states and like the US Senate, it still has real power as opposed to the Canadian one. In 1975 the government of leftist Prime Minister Gough Whitlam was brought down just because he couldn't pass the budget through the Senate.
In fact official Australian government-approved publications all describe the Canadian Senate (and thus dominance of the "big two" in Canadian politics) as a negative example for Australia to not emulate. Examples of such publications are below:
http://www.aph.gov.au/Senate/pubs/odgers/contents.htm
http://www.aph.gov.au/Senate/pubs/occa_lect/transcripts/220302.pdf
http://www.samuelgriffith.org.au/papers/html/volume8/v8chap6.htm