This answer is predicated on direct life experience of second US-Iraq, which we seem to be discussing. Rather than first US-Iraq which lies in the gap between what's been written up historiographically when I was doing undergraduate, and my life.
so we have to work harder at the relationship.
We *believe* we have to work harder at the relationship. Ming's begging is a useful example. The other, persistent, question is while we keep paying the premiums on the insurance, we've been Singapored before. INTERFET isn't the best example to my mind because that was a very tidy matter of Indonesia getting tired. The trots slogan of the day was, "Free East Timor," and to my mind Howard said, "Yes please, I'll take two if you've got them." The yanks could quite handily look at the exchange of allied supremacy over East Timor and frankly not give a rats arse about the frictional costs in blood because the social Catholics nudged out the catholic Socialists and both of their mates ended up with the oil.
A slightly more sensible analysis would be that the insurance policy will *never* be paid out, but that the costs of payment are worth the maintained relationship in other situations given the alignment of Australia's ruling class and political elite with broad US interests. With the growing access and exposure of Australian higher education, primary industry and mining capitals to Chinese capital interests, and the latter two to Japanese capital interests; with Hawke-Keating's neoliberal restructuring making Australia's economy the poker machine of G20 economies, we're not open to the economic discipline New Zealand faced and produced for itself. Australia is more than Dairy Farmers writ large: its also coal, ferrous, non-ferrous, and really bad BCom degrees. The United States has had very limited capacities to discipline Australia, other than, for example, suggesting to a self-important drunkard that he have lunch with the wrong person first during a constitutional crisis. And yet, even then, they didn't actually invest properly in the every day cultural-and-scientific-exchange front organisations for an allied state they were seriously worried about. The standard of CIA cultural front organisations in Australia was even at the height of the Cold War funding for the same, pathetic.
Which, to reign in examples, is to restate: why would the level of Australian work affect the relationship, when the United States fundamentally doesn't care. ANzUS hasn't yet changed its name, that gives you a hint about the level of effort. There are still five eyes despite Aircraft carriers having to travel a bit further for legal sex workers. Benign neglect. Eager pre-compliance. That's the relationship.
>Australia refuses to send troops to Iraq, leading to a diplomatic spat.
Well my first thought is, Australia's troops refused for Iraq, leading to a diplomatic dummy spit from Australia. Sure there were nice ironies with guarding the JSDF Engineers, but I'm not sure America wanted much more than the usual stamp in the UN and landlines out of satellite uplinks. Could well have been a 1964 mark two, "Who wants to come play in Iraq? Don't they have Bouganville and Fiji and the Solomans to deal with?— Gary, how are they doing with Bouganville, they completely fucked it up, and the media went to town on them? Jesus christ we don't want them anywhere near this."
yours,
Sam R.