I'm an undergraduate student in the United States, and I am looking to go to law school immediately after I graduate.
My ultimate goal is to work as a lawyer in Australia, preferably in a major city like Sydney or Melbourne. I do not have Australian citizenship, nor do I have any professional connections there. (I studied abroad there for a semester, and I really fell in love with it.)
Is it feasible to start a career in the Australian legal industry after getting a US JD from a top-tier school? Or should I apply directly to top Australian law schools, such as UMelbourne (whose program happens to be ABA-approved), in order to have a fighting chance? What can I do to make myself more competitive? Should I do a study abroad in law school? Really, if anyone has any comments that are relevant to this matter, I'd love to hear them.

Thanks!