You might look here before you buy your ticket:http://www.immi.gov.au/media/fact-sheets/01backgd.htm
"Migrants are selected under the Migration Program in three streams—Skill, Family and Special Eligibility; while the Humanitarian Program offers resettlement to refugees and to displaced persons who have suffered discrimination amounting to gross violations of their human rights.
The rules for each, in general terms:
• Skill—most migrants must satisfy a points test, have particular work skills, be nominated by particular employers, have other links to Australia or have successful business or investment skills and bring sufficient capital to Australia to establish a business or investment of benefit to this country.
• Family—selected on the basis of the family relationship to a sponsor in Australia—usually partners, fiancés, dependent children and parents.
• Special eligibility—covers former residents who had not acquired Australian citizenship and are seeking to return to Australia as permanent residents.
• Humanitarian—refugees and other Humanitarian Program arrivals must satisfy the criteria concerning refugees or humanitarian cases"
It would appear on the surface , for all their picking at the US they are a bit selective themselves.
One good thing about Australia is that they are humane and compassionate toward Christian refugees fleeing Muslim persecution in their homelands in the M.E.
I know of several such families that could not get into the U.S. but were taken by Australia -- after years of suffering in limbo. Also I know of a few that got to go to Canada with the help of evangelical Christians.