Sorry for this rhethorical question! And of course it would be bad if another iconic name in aviation history would disappear. But reading the news from "down under" today, I am coming to the conclusion that the best solution would be to drop the Qantas brand altogether and just to continue with Jetstar. To "save" the Qantas brand name Jetstar could then be renamed Qantas and join oneworld (again).
At least with the alliance with Emirates the international operations of Qantas itself became irrelevant. It looks more like a feeder for Emirates. And now that Emirates will start codesharing with the Qantas LCC offshoot Jetstar, there is no real need for a domestic Qantas. Concentrate all domestic efforts on Jetstar and act as a feeder for Emirates in markets like Singapore, Ho Chi Minh and elsewhere in south east and north asia.