Large portions of East Asians are born into poverty that surpasses that of any other racial group; or that they immigrate to the country with wealth and connections far less than that of any native-born American, black or otherwise. The majority of Asians in this country in the future still aren't going to be born here - they're going to continue to be direct immigrants. (assuming current trends hold, which is a dangerous assumption all together, but without that trend holding, the entire demographic change looks dramatically different, and the premise of the question becomes moot) That's the part people don't quite get when they look at the demographic boom.
Part of the reason the poverty is obscured is that they won't break out Japanese, Koreans, and Chinese immigrants from Hmong, Thai, Vietnamese, Cambodian, Indonesian, etc immigrants. That's why you won't have that acclimation - because you're going to have two very distinct groups of Asians in this country. (both economically and culturally) Also; at some point, the US is going to figure out that most of the wealth that was taken from the middle class here ended up creating the modern middle class in India and China, and there's going to be hella resentment. (Alternatively, be Chinese and try to get a security clearance in this country)
EDIT: The general difference I think is confusing different European ethnicities (which would be closer to the differences between states in the US given an extra few centuries or millenia of development) and different asian ethnicities. Add in some historical weirdness of bedfellows (thanks WWI and WWII!), and some groups that historically might not have got along were forced to get along, and that led to a comfort level that WWII actually made worse in East Asia (see Japan, Korea, China, India). I also think the US population was far more likely to integrate when the country had a collective philosophy of being the underdog (compared to Europe) - I don't know if we work that well together when we're on top (see the rapid polarization of the country post Cold War).
