O'Boy,
Unlike many European locations, the US is saturated with highly qualified and unemployed pilots.
Your experience in type, if acquired with a European carrier will not result in training savings. That is because European air carrier training programs are generally not compatible with or recognized by FAA. The US carrier will have to give you its full training curriculum regardless. Even if you are rated in the type, that JAA rating cannot be transfered to your US pilot certificate. [This has nothing to do with quality of training in Europe (often better) but is actually all politics.]
For example, I personally hold type ratings of JAA origin none of which appear on my US ALTP. Unless I do a complete and new type check in each of those aircraft, by US FAA, the ratings are not transferable. They are as useless in the USA as a US rating would be to a JAA carrier. [Politics again.]
Aside from those technicalities, some US carriers don't like pilots with "previous experience in type", because it is often difficult to break old habits/routines. Easier to train a "green" pilot your way. Unless you're very high on overall experience, your "attitude" (as perceived by Human Resources interviewer -- a non-pilot) may well outrank your flying experience. In this country we tend to hire "profiles" that happen to fly, more often than pilots. Quite different from my own experiences with European employers who seemed to care little about how I "looked or acted" and a great deal about my flying skills.
In applying I suggest you arrange you CV to emphasize your overall flying experience and education instead of your "in type" qualifications. Then, as the previous writer said you'll "join the cue". A "foreign type rating" won't but your app on top of the stack. Your total experience may. Hope that helps some.
Best wishes and good luck to you.
PS. Be sure to dress smart (by American standards) and choose the right necktie.
