I don't think Israelis are really representative in this case, though. They are plenty rich enough to begin with, so if they emigrate, then yes, the choice might be motivated more by cultural or mentality-related preferences. The same applies for wealthy Arabs / Muslims who choose to emigrate either to the US or to Europe. But the large majority of poor emigrants doesn't really have the luxury to make their choice based on that kind of criterium.

I'm not sure where he got that idea that immigrants who move to a new country and start businesses is a phenomenon unique to the USA either - most western countries favor immigrants-investors, even though they accept those coming to fit shortage of workers etc. The "American Dream" has long stopped being unique to America, and in recent years the stats show that America isn't quite anymore the eldorado of social mobility, where "hard work" can enough to make you climb the ladder, generation after generation. Several western countries now fare much better at this than the US, and have much smaller social/wealth inequities beside.

Another factor concerning immigration is that the USA get a much smaller percentage of refugees among their immigrants. I was looking at a chart for 2013 showing the US accepted 69,000 refugees, while Canada the same year, at an all-time low for us (with our paranoid right-wing government making it more and more difficult to get the status), welcomed 23,000 families. If you compare the population of Canada and the US or the total number of immigrants we get per year.... Refugees come totally unprepared for immigration, not knowing the language, owning often nothing, not necessarily apt to work. Want it or not, those immigrants have a much, much harder time integrating properly than your average immigrant who often prepared for years to migrate.

For the rest it's true enough that the US are much better at integrating the immigrants they receive, for all sorts of reasons, but the model doesn't travel so well (except it's in some ways similar in France, where the problems are specific to some waves of immigration).