You will need:
Screw the monitor base onto the power supply with 3 M3x10 screws; mount the sub d female connector and the switch to the power supply end piece and connect them with the cables of the power supply. I soldered the white and grey cable to the switch which allows me to easily switch on and off the power supply. Remove the M3 screw at the end of the power supply opposite to the AC socket and slide the ends onto the supply. Slide in the lids at the bottom and secure everything with some drops of glue.
Mount the display into the housing as described in bjoern's thing and attach it to the power supply with olima's arm.
With the cables and the male plug, connect the display and the Pi to the power supply and have fun ;-)