Making of the South Paw S-Type. 
How to Swap the function of the left and right thumb sticks on an Original Microsoft S-Type Controller

Someone commissioned a Llamma Original. 

Someone- "Hey Llamma, can you take an S-type original Microsoft controller and swap the left and right thumb sticks?" 
Llamma- Well yeah I guess. 

So some trial and error and more than a few hours of experimenting and what do you know the thing works!

***Caution this is an abridged version of a tutorial, you should already be proficient at soldering to traces before attempting.  You should know to scrape away the green soldermask to reveal the copper.    DO NOT make this your first soldering project.  Fearless Soldering God's only.***

Required:
S-Type Controller
Phillips #1
X-acto knife with scalpel blade
Rosin core solder
Flux
30AWG wire

Helpful:
De-soldering braid
Magnifying glass
Helping Hands

Begin by opening the controller, remove all SEVEN screws from the bottom of the controller, one is hidden under the sticker.
With the top of the controller on the table, carefully lift off the bottom cover
Disconnect the vibration motors from the circuit board
Lift the circuit board out of the controller and place on work surface
De-solder three contacts on the left trigger and remove it

Minus the soldered wires you should see something that looks like what is in this photo. (note: there are three (or more) revisions of the S-Type circuit board but the fundamentals of the thumb sticks are the same on all types)

Here is a shot of the bottom of the left thumbstick.  ABC's and 123's what a mess of arrows and junk lets hope I can describe whats going on here!
 

The ABC's are the contacts from the sensor on the stick for up down/left right. 
Originally A was Power, B was Output and C was ground.  We need to make it A Ground, B Output, and C Power

To do this right we have to interrupt the output of both B's on this side and provide them to the corresponding B's on the other stick (and vice versa).  OH but that's not enough, we also have to reverse power flow through the circuit since the left thumbstick has the sensors on the bottom and right and the Right thumbsick has the sensors on the top and left. (if you don't reverse the power flow you get two sticks swapped but completely reversed, up is down left is right etc... found that out the hard way)

Okay now time to cut some traces, 18 to be exact.  You will need to repeat these steps on multiple places on the board, in total there are 4 A's, 4 B's and 4 C's.  For now I'll just focus on describing what is going on on one set.

C is connected to the ground plane by 3 small traces (arrows 1,2, and 3) We need to cut those to isolate the C pin from the ground since we are going to be sending power to it.  Next we need to cut the power going to A (since we are grounding that pin), notice that there is a trace that I highlighted in yellow going from A pin to A pin, leave that intact, cut at Arrow 5, then you can just ground the trace connecting the two A's Arrow 4 points to a blob of solder bridging the ground plane and the trace.

See the purple wire going from the via next to A? I sent that over to the other side of the board to power the C pin of the corresponding sensor, that is not necessary, it is just power and could have gone directly to both C pins on this side.

Now on to trading signals, the B pins.  Notice the white wires and red wires in the photo, one is soldered to the pin on one end and to the the trace at its other end.

The yellow wires in the photo go to the micro switch for pushing down on the thumbstick, same procedure as for the B pin, isolate and solder the wire to the other thumbstick trace/pin.  Note that the micro switch has four pins, 3 go to ground and only the fourth power one has to be wired to the other side.

It looks something like this before you put the cover back on.

I know this is not as detailed as most of my tutorials but if you have the skills to accomplish there should be enough detail to figure it out.

Feel free to discuss this mod in the forums.

-Llamma