So I need to cut the power strip and connect these individual wires to their respected sockets?
Yes, cut off the wall plug and crimp on 1/4" (0.250") female Quick Disconnects. (QDs)
If you have un-insulated QDs like the ones in Unstupid's picture, consider using heat shrink to minimize the chance of accidental electrocution.
Make sure you have both good mechanical connections (QDs won't twist free) and good electrical connections (<2 ohms)
BEFORE you try to run power through it.
Why is it important to have clean, corrosion-free, mechanically-solid and low-resistance power connections?
Badmouth shows why
here and
here.

Scott
P.S. Just noticed that your power switch is turned 180 degrees compared to Unstupid's and the example in the wiki.
The narrower-spaced tabs A and C are the input side.
The wider-spaced tabs B and D are the output side, where the lamp is.
If you use tabs B and D as the input side the lamp will be on whether the switch is open or closed.
