That's right; you're wiring a DPST (dual pole, single throw) switch to presumably control the flow of AC power. Earth gets wired to the cabinet, and Hot/Neutral to the switch. It doesn't matter which side you treat as input or output, since the switch is a simple on/off and will only close the circuit in the 'on' position. You just need to ensure Hot/Neutral are on separate poles.
if you throw that switch your in for a hell of a bang!!
use a meter to check continuity, i'm sure you will find that the center pair are the inputs from the connector and the end pair are the feed to the game.
Oh yeah def wrong. When a took a min to think about it realized it was just a super simple switch that is in a dif orientation than the switches I usually use. The correct way is in the pics.