Why do you have huge intake fans at the front/bottom of every player?
You only need to cool the computer and the projector.
If you put the computer (tan) and the projector (violet) in one side, build the cooling intakes on the bottom and vents into the side since heat rises.
The projector can vent between players and the computer can vent at the corner.
If players don't like the exhaust, they can choose one of the 6 spots on the other sides.

Two panel latches (black arrows) hold each side to the next.
The support base (white) for the mirror (gray) is locked in to three sides using four more panel latches (black arrows with red stripe).
The 45-degree mirror (gray) pivots on the heavy line and a turnbuckle on the left side (black circle) allows you to adjust the angle -- once the projector and mirror are properly aligned, the yellow side can be connected.
You will probably want to have the wiring plug-in receptacles in the green side.
If you move the cab, the connecting cables from the other three sides can unplug from the green side.
Consider using parallel port cables instead of RJ-45's since each player will need:
8 - 2 joysticks
3 - 3 buttons
1 - Start (?)
--
12 * 2 players per side = 24 inputs
Add one ground wire and you have 25 conductors.
Also how do the mag strip readers figure into the plan?
Scott