zumzum,
The advice given here is spot on. Many years ago, I was in a similar position, working for an Major European Airline and getting married to a US citizen with both of us wanting to live in the US rather than Europe.
At first, I tried to join some of the US major airlines, but my flight time back then was not competitive for the US industry. I ended up joining a Long Haul Operator in Europe and commuting to the US for almost 10 years. Once I had significantly more jet time, I did get job offers from the US, but luckily never accepted one - just did not feel right.
Today, I work for a major Asian Carrier, based in the US and feel very very lucky about making the right decisions along the way. Forget the US airline industry. It will be in ruins until some serious changes in legislation are passed - and who knows when, or even if that will happen.
Try to find a job with an Asian company on a long-haul fleet with basing in the USA.