You can't "move to the USA on a green card". You need to go on a work visa first, then your employer may petition for a green card for you. If you are an Australian citizen you can most likely use an E3 visa. I do not want to get e3 visa beacuse its is a temporary visa and you have to come back ...

I am an indian born naturalized australian citizen.I want to move to usa on green card.I have an employer in USA who will sponsor me for green card.I know that it takes very long time for people of India, china and philpines to move to usa on employment based green card beause of their priority date ...