It's pretty easy. You'll have to find a single point that connects to five bends.
Looking at the plug coming from the joystick, that wire wants to go to the 2nd pin in from the left on the bottom for all atari compatible joysticks. the other points go to the farthest right on the bottom and the four rightmost pins on top. Conversely, you can remove the Sk-1's speaker, take the bottom off the joystick and solder directly to the points, forgoing the DB-9 as I've done here:
particularly on an sk-1, is if you chose your bends correctly you can get some interesting combinations. The bends you have wired to N, S, E, W, and the button can be combined in many cases. So diagonally up to the right produces a bend that is neither N nor E but sort of a combination of the two. This gives you potentially 17 different bends off the one joystick.