So they're better Americans than many American-born citizens?
It depends on how you define "American", but on average they're much more entrepreneurial and likely to start up their own small businesses. You tell me if that's a trait we like.
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I live in a town that, because of the schools, three major hospital systems and proximity to NYC is becoming heavily popluated with 'new' Americans. I will state without reservation that many of them display more of the values that we consider to be 'American' than very many of the native-born Americans I know.
Example; my neighbor to the north...from Peru...he's an engineer and builder who runs his own company...she's a registered nurse...one son a BU Grad now in the Air Force...the other a LCPL in the Marines...they came here with nothing in the bank and now are debt free...they go to our church...they shovel my walkway if I'm away (reciprocated of course)...I could go on but you get the picture...