Ozy is correct. Your mil logbook is fine, its just a terminology thing:
1. Just treat your Capt + P1 as 'P1'.
2. Treat P1 (i.e. operating but not
the Capt) as 'P1 U/S' (under supervison).
3. P2 is just plain old 'P2', and Dual is 'Dual'!
If you are sending out your CV it is very simple to 'translate' it into the current 'civvie speak'.
However, be aware of one thing I have noticed in my current civvie employment, that I feel is disappointingly 'offside' - First Officers logging all
the flight time when they are there as 'heavies' (relief pilots). Company SOPs state that you can only
log time whilst in the operating seat, unless you are the skipper, or a trainer conducting your job from one of the observer seats. Never mind what the CAA rules say, and they are pretty similar I understand, but I have not flown with any other FO who logs only operating time in the seat. I have politely challenged only a couple, and the response is usually "Oh, is that so?" and a shrug. Disappointing ................