Here's my quick and dirty solution that took an hour. All the hardware comes from the local hardware store. Yes the hinges are different lengths, I didn't notice that I had bought 2 different ones till I arrived home. Doesn't seem to make too much difference, but if you make this they probably should be identical.
The joystick is attached to the plywood with Velcro and the cord is taped to the grip. Everything else is screwed to the plywood with washers.