It's not anglo-centric, it's what happened. Obama was ready to start and was waiting on Cameron to get the greenlight. When that wasn't acquired, Obama abandoned the idea. It was only Da'esh becoming established that brought them back in.
There's been a number of polls relating to military action today. One (which I posted in another thread, can't remember which) even showed people wanted boots on the ground, not just air strikes. The poll you mention citing 58% support for airstrikes had just 22% against them. Another more nuanced one had only 15% in favour of unilateral airstrikes, but massive support for internationally agreed action including military, and only about 15% wanting to rule out military. So I'm not quite sure your point on the appetite is based on the evidence.
No, Obama was waiting on the green light from coalition partners (to borrow an Iraq warism) which he didn't receive. Yes the UK was one of those, but it was not the only one. Not only that, but he faced substantial domestic opposition not just from the public but within his own party. To act like the UK was solely responsible for what happened is disingenuous. In fact, after the UK voted against the measures on 30 Aug on the 31 Obama announced the proposals would go to congress. And a bi-partisan joint committee bill was filed on the 6th September.
It was, in fact, Russian pressure on the Assad regime to destroy chemical weapons that stopped air-strikes at that time and, in September 2014 in spite of the UK's vote a year earlier the US engaged in airstrikes on Syria supported by geopolitical allies.
My point with the polls, is that we're at the height of anger and rage and yet just over half, from the ones I've seen (fair enough if you've seen others that suggest a stronger backing), support air-strikes. It's a passionate response and in 3-4 months time with, hopefully, the events of the past week a distant memory support is not going to be as strong.
In googling this I came across this quote from Miliband:
Labour leader Ed Miliband said on Friday that the House of Commons had spoken "for the people of Britain".
"People are deeply concerned about the chemical weapons attacks in Syria, but they want us to learn the lessons of Iraq," he said.
"They don't want a rush to war. They want things done in the right way, working with the international community."
He said Britain "doesn't need reckless and impulsive leadership, it needs calm and measured leadership".
I think it, still, sums up the attitude towards Syria.
I'm sure I saw a list somewhere that included Bahrain, Canada, Jordan, Saudi Arabia, Turkey, United Arab Emirates, Australia...
My use of 'world leader' was incorrect. But I think almost all of those joined later in 2014 when the strikes were against IS rather than in 2013 against Assad.