By the way he didn't say his girlfriend was a US citizen, he only said she would love to live in the US. Now that's a different story. She is a qualified nurse here, the same with JAA and FAA that doesn't automatically qualify in the US. She has to take exams etc etc etc. (more difficult than getting FAA licenses).
Second even if she would get a H-1B visa you are not allowed to work as her partner/spouse.
I've been there, seen, tried it and there's only one way to do it, marry an american girl. As a pilot you can forget getting a H-1B anyway.