A big NO. The CAA did not acepts FAA licences for a long time and also put a lot of obstacles in the path for obious reasons if somebody spend less money for a CPL/IFR Multiengine licence then in the UK or mainland Europe.
On the other side the FAA is offering you that you can make a ATP straight without having a US-CPL. Use ur expirience and then you can do the FAA-ATP written test and then put your typerating onto your licence and do a flight check in the A320 and you will get a unrestricted FAA ATP. The question is: Do you really want to do it?. The JAR-FCL Licence is a ICAO licence and the Far-East, middle East, and south east Asia is giving you a national licence based on your JAR-FCL licence after you do a Airlaw written test. That is usually the way it works. India is looking for Pilots, IRE/TRE are mostly welcome. Vietnam was as well looking for A320 drivers. If you want to know more E-mail me and we take it from there.
Fly safe and land happy
NG