I have been in the USA for more than 10 years -commuting overseas- and have accumulated quite a lot of Jet Time on the B747-400's in worldwide operations, have an excellent training record and flawless background, JAA ATPL, FAA ATPL etc.
My wife's family has been in the USA for at least the last 200 years and our children are all American born. Being a green-card holder, I am the only "alien" at home (that's what my 5 year old daughter calls me)
The commuting got a bit too much, so I applied with almost any airline of some reputation in the US, including NetJets and other Business Jet companies.
Needless to say, I have gotten job offers from all around the planet, but not ONE interview with a US company.