We forget sometimes in the US that our entire country is not as old as a decent British country house, nor a Taiwan temple, nor even a Chinese family land lease. Hell, the US is not even as old as most decent books. We are not most people and we're never going to be. Our inflated estimate of our importance is the cause of much misunderstanding in the wider world. The sooner we let it go the better.
I agree with the notion that the US should not have an overly inflated estimate of our importance... however your reasons why are beyond silly.
"Old" doesn't make something better. Ask any of the younger generations in the countries you've cited, you'll find that they by in large eschew all of this glorious ancient tradition (if they're even aware of it), and are more interested in modern (read: Western) style living.
Simply occupying the same bit of dirt on the planet for a length of time doesn't translate into some type of magical wisdom. Indeed, entities and institutions that have existed for too long very frequently exhibit backwardness and retardation from centuries of inbreeding.
We've got some decent insight on human interaction to share, but others may be rightfully suspicious of new ideas when they have a system that's similar that is proven to work over a span of 5,000 years. To those folk a quarter millenium is still just a "noble experiment", and frankly looking at what we're doing with it, we might not make it to a half millennium so who are we to say they're not civilized?
Please read up on the history of India, China, etc. and the myriad of failed systems that have existed in the countries (India, China, etc) you've cited over the past 5,000 years. Then consider restating your opinion.
Again, I have no issue with your statement that the USA can often be caught up in its own hubris, which we should avoid. But the rest of your statements sound like something right out of the "noble savage" nonsense.