Is DA2000 the biggest plane you've flown in your career? If so, chances are you're not what EK is looking for. They have a stream of kids coming out of Ryanair and easyJet out of Europe with Boeing or Airbus time, and that's what they're looking for.
Even for regional guys stateside, if you were flying a 50-seat EMB-145 or CRJ-200, you'd not be considered qualified... you'd have to get into CRJ-700 or 900 or EMB-170/175 to be qualified for EK.
Also, you said all your experience is in corporate aviation. Just how many bizjet operators in the US want to see experience in bizav, EK wants to see airline experience which you don't have. As far as EK is concerned, you've only flown a toy jet. They don't care about all the extra duties you do on a daily basis or what's involved. You've only flown a toy jet.
Not meaning to sound harsh, but if you want to fly for the airlines, plenty of airlines in the US hiring, and you can make a lot more than 120k after a couple of years.