I think you Sir, have hit this nail directly on the head. My guess is also that the only people not wanting the US there is the Indonesian government and the terrorists. They, after all have the most to lose by their people seeing that Americans and Australians aren't the two-headed monsters they've been preaching to their people about. I can't imagine that the people receiving aid and being helped are going to want them to leave sooner rather than later. And maybe some are asking or wondering why their own government is not helping them as much as the Americans and Australians.
The longer the US and Australia stay and help, maybe it will be harder to talk that 20 year old into putting on the bomb jacket. Not all of them for sure, but maybe the one that was helped during this tragedy won't be so quick to do it.
Thank you. The Indonesian experience is the veritable tip of the iceberg with respect to the disaffection of the general populace of these countries with the US and other Developed Countries. I've seen that, all too often, US and other "Developed" nations form allegiances with repressive regimes or localized Power Brokers for commercial purposes. In the process we provide tacit approval or, in some cases, outright support for these regimes in return for their agreement to deliver up their legions of Serfs to manufacture Nike tennis shoes for the US consumer (Nike=Only one of millions of examples). As long as the supply of shoes (Or oil?) is forthcoming we have little objection to the reality of these societies vis a vis terrorism/radical Islam.
So we see that it's a very complicated dance we find ourselves in and who really knows where the music stops. One thing I do feel confident of is the fact that the Developed Nations policies towards these countries works to the benefit of Elites on both sides of the divide and works against the interests of workers everywhere (And I'm a free market, Conservative type guy!).
A simple example of what I'm saying (But by no means an isolated one) is our policy towards the Saudi regime. It exemplifies the long term damage that can be produced for the short term benefit of the few elites of both Saudi and Developed Countries. I could write several book on this subject but I hope I've made my point in these few paragraphs. :-)