Hi,
I am converting my Australian ICAO CPL lisense to UK JAA CPL a the moment. In order for me to do that i have to jump through all the hoops that the UK sylabus demands, but at the end of it all I end up having a
UK CPL and Australian CPL, you should end up with both once your qualifications are recognized by the other country.(Shouldn't be too hard since there both GCC countrys) You of course will have to meet the requirements of keeping your lisense valid eg. flight reviews etc.