Throughout your post you mention "I will ... my plan", and then say "my wife" only in the last paragraph. Do you plan to do any of this together? Because you're suggesting moving really far away from your kids, which might make sense on paper, but could be much harder to do when the time comes. Over the next 16 years, you might even have grandchildren. Would that significantly influence your decision?
What about planning for two possibilities? In other words, make sure both are viable, in case your plans change:
(1) stay near family and pay U.S. rates for healthcare...
(2) move far away to Australia for the healthcare.