Another way of doing it is getting the licenses in the US (you can get them fairly cheap and fast - especially if you do some homework beforehand by studying the testpreps from Gleim or ASA (or simple learn the FAR/AIM)), then go back home and take all the theory courses for the JAA and do the testflight.
In Austria I paid about 5500 Pounds for just the theory-courses CPL/IFR/(frozen) ATPL.
You'll have the advantage of owning the FAA as well as JAA-licenses.