Do you have a multimeter?
You will probably need to cut the trace on the NES pad. You may have to separate only the DPAD section, so start there. You may find later on that you need to separate the button section from the [start and select] as well. If this happens you will make at least two cuts in the common trace on the NES pad.
The following is speculation:
Cut the common trace to the left of the notch near the Printed number 9 on the NES pad to isolate the section from the other inputs. Then solder the black wire that is currently on the USB "start" button to the diode-side of SW11, SW12, SW13, or SW14. (you may find that it is easier to solder directly to one of the diodes' solder points, instead of trying to glob solder on the contact pads.)
Then test the direction pad inputs to be sure that they work.
If they do:
Next, run two new wires from the NES pad to the USB pad in the same manner:
keep all three sections separate and it might work out.
to be clearer, one of these new wires should connect the start-select section commons of both controllers, the second wire should connect from the NES pad A-B button common to one of diode-side of SW1,SW2,SW3 or SW4 (or, once again, one of the diode inputs, instead)
Good luck, you can do it!