There is no isolation transformer showing in any of the pictures you posted.
Either it is mounted elsewhere in the cabinet (possibly, though unlikely/stupidly on the back of the metal box for the coin door bucket on the right of your pictures) or on the monitor shelf or on the monitor frame itself.
Or, it is possible the monitor doesn't require an isolation transformer. But DO NOT ASSUME THAT. Check around elsewhere to see if you can see a transformer sitting anywhere, and post shots of around the monitor/monitor model number.
(First..dude... you REALLY need to clean that cabinet.. and remove all the loose change. That COULD cause a short if it fell on one of the connectors just right!)
To help you identify things, here goes:
Inside3.jpg: This is the external facing power switch and line interference filter box. Follow the wires from this and it should lead two places. First to the external power cord, second, to the switch-mode DC power supply.
Inside2.jpg: This large rectangular thin box is the switch-mode DC power supply. This is basically identical to what you have in your personal computer, just without a fan. This provides DC power to the circuit board only.
Inside1/4.jpg: This shows another master power switch that should be in line with the other one at the back of the cabinet.
Here is a nice diagram to understand where these wires go and what they do:
