We deliberately introduced a virus and tried to built a massive rabbit-proof fence across our country, border wall style, to hold these fuckers back.
The sheer level of ecological damage they cause is incalculable. They're one of the reasons (although to be fair, not the only reason; agriculture is also a big problem) that the bilbies are endangered in the first place.
Australia doesn't have as strong a rural hunting culture as the USA. There are of course hunters, who get their licenses and participate in culls and pay attention to the hunting seasons, but on the whole there are large rural areas where it's not really a thing . EXCEPT for foxes and rabbits. I grew up on a farm and every farmer I knew knew how to shoot, specifically to go out on the weekends with the jack russel terriers and shoot foxes and rabbits. Everyone owned multiple guns and that was literally the only reason. Some of them would keep the fox pelts and a few of them occasionally ate rabbit meat but most of the time they just gave the corpses to the dogs or disposed of them. It wasn't about food and fur, it was a moral duty. Pest control. As much a part of their job as herding sheep or mending fences. An attempt to at least temporarily keep the fuckers back.
Rabbits are a plague on this country and nobody but the most narrowminded city slicker would hesitate to wish every feral rabbit dead. We all wish myxo had worked.