Abbott's position is pure racism. He ran a campaign about fear of brown people on boats storming Australia's shores, making claims about economic migration and terrorism. Now he basically completely broke Australia's commitment to accept asylum seekers into the country and stuffs all of them into concentration camps where children are subjected to disease, and physical and sexual abuse.
The stats paint a completely different picture to his claims, showing that there are and were a tiny number of asylum seekers coming in on boats and that the vast majority, after finally being assessed, turn out to be legitimate asylum seekers.
The entire issue with "boat people" was that they were taking too long to process and hence the government was letting them out into the community without proper assessment. So the solution should have been an administrative, process improvement and staffing one. Instead Australia just chucks them in a cage and pretends they don't exist.
So no, the world should not look to Australia for a solution to illegal immigration.