That could very well be true, and I'm not stating it as proof of anything, other than to claim that Europeans score 'ballpark the same' on either side of the Atlantic.
I suggest your theory is probably very true for Asian Americans - the one's who came here are 'la creme do la creme'.
But not for Europeans. Europeans that came here were the poorest, the least educated, criminals, fringe religious types etc.. Europe was 100x more civilized than America during early history - why would anyone with any social status leave London in 1800 - to go and live a million miles away, a very, very hard, back-breaking life?
Well - those tenant farmers who could get cheap land and get out from under the thumb of their landlords etc..
But it's a good point.