So even with a CPL you can only fly privately. If you wish to take remuneration the FAA tell me you must hold an FAA CPL and IR.
Why? The only restrictions (FAA) of a bare CPL (no IR) are for passenger carriage and they are 50nm max radius and no night flight.
Both the FAA CPl and the JAA CPL are practically useless, anywhere in the world, unless working for a company that holds an AOC etc etc etc.
The one exception is that with a CPL one can be a paid "company pilot".