So you are going to take all the 14 JAA ATPL exams and then what? So what, you may have 10,000 hours in the G5, Challenger, B744 and the NASA Space Shuttle but all that doesn't mean jack in the ol JAA-land. You are then going to have to do the ATPL skills test in a Sim reprensentative of a JAR part 25 aircraft. So, you say to yourself "gee I can do that at FlightSafety in the USA at a fraction of the cost compared to Europe"....but wait young Skywalker...the JAA force is strong! Flightsafety and the others may say they are certified for JAA training, and they are....but who is going to issue that JAR ATPL license? Do you think somebody in the USA can print you that license...that would be funny. So now you have to go to a participating JAA country's authority (you see each country can still and still does interpets the JAA rules as they see fit) and say hey I did the type rating with an examiner who had an FAA and JAA certification, but they now tell you that certain maneuvers have to be done in the actual jet. So you charter out an empty jet for a couple of hours and take yet another check-ride. So, now you have the ATPL license....but guess what the 100th airline in Europe just filed bankruptcy and put all their pilots on the street. Take a number, homey because you suddenly went to the back of the line. Oh and even if you do have the legal ribght to live and work in Europe...I bet you do not have an EU passport...gotcha! Guess what, you aint flying! (Please forgive me if you are European and do have the Passport....but you will still have to join the queue).
Honestly, though I do wish you luck. Calculating wavelength and frequency have never been so much fun. Sorry to sound so bitter, but this industry makes you want to tear your hair out!!!!!