Stratocruiser,
No i have the full whack - just like the guy who went and did the full CPL and IR modules. No mention of the FAA on my JAR licence.
You can convert an ICAO CPL to a JAA CPL with training at an FTO then the Skills Test, and since the Summer you have been able to get the JAA IR from an ICAO IR with 15 hours training and a Skills Test.
My FAA IR was also not current at the time (but was of course valid).
Hope this helps.