You posted this in BenHeck forum too, so I am replying in both.
I was wanting to reply in your other posting too, but the images you used were so large it caused my computer to freeze - there is no reason to use pics larger than 800 pixels. Basically, you must use a third party N64 controller, then you can link a joystick from any other controller to use it. All joysticks use 4 connectors, ground, VCC data, Horizontal, Vertical. Even the PSP does.
On an N64:
On a PSP:
You can use a small screwdriver and tease the pins out a bit more on the N64 cart slot, so they make better contact, otherwise you can easily replace the cart slot with another as they detach from the mobo easily, without soldering. See my threads for more details if you need to.