LAWDIVER, Cecil, Red Eye Reduction and pre-flash are 2 different things. With RER the flash will fire several tiny flashes before the main flash. The purpose of the tiny flashes is to close the iris of the subject's eye. You should never use this mode to trigger an external strobe.
Pre-flash is used to measure the amount of flash light needed to correctly expose a scene. In Sony's own words from the manual: "The flash fires twice, first pre-emission is to adjust the amount of flash light, and second emission is to shoot the image"
You can turn off RER by selecting a different flash mode. You can't turn the pre-flash off on the P5 or P73.
To get your external strobe to sync you need to 'slave' it to the camera's flash. The external strobe will have a light sensor that will trigger the strobe when it detects that the camera's flash has gone off. The fibre optic cable is just a means of channelling the camera's flash light to this sensor. This method is deployed with the Inon D-180 or the Sea and Sea YS-90DX. Ikelite strobes have the sensor separated from the main strobe unit. You mount and aim the sensor in such a way that it 'looks' at the camera's flash.