Mr Turnbull was a founding member and chair of the organisation in 1993. Becoming a republic would mean Australia could have its own head of state but still be part of the Commonwealth.
Elizabeth Borrello, convener of the WA branch, said there were strong arguments to have an Australian head of state.
“The diverse ethnic make-up of Australia’s population today reflects that the average Australian is of less British heritage and as having almost no ethnic or cultural ties to England,” she said.
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READ NOW“It can also be argued Australia has moved away from Britain politically and culturally.”