Its not only in Perth. Everywhere in AUS they are specific about your CV. They look for similarities in your work, domain knowledge and whether it is 100% matching. And even if it is 100% matching they will ask for Local experience or look for Localites. Only few lucky people with rare techonologies will get job easily in AUS. It will take atleast 5 to 6 months to get a job.
Try to make your CV in Aus format and here they prefer cover letter to be more informative. So prepare a good cover letter with details of your experience and skills. I have seen cover letters of one page in AUS. So go for it.
You need to have a very good rapo with consultancies in AUS so they will show you good opportunities. Even they suggest you regarding CV and CoverLetter also.