So, I went about scouring the web for resources concerning this problem. I came up dry. The few posts that I did find concerning this problem only mentioned that no one liked the stock horn. I did run into a few forums with people claiming to have switched their horn, but they gave no instruction as to how to do it.
Step 1: Step 1: Locating the Horn
In this step, you will not need any tools.
Step 2: Step 2: Identify the Horn
In this step, you will still not need any tools.
Step 3: Step 3: Disconnect the Wiring Harness
You will need thumbs to perform this operation.
Step 4: Step 4/4a: Remove the Horn and Bracket.
4a. Using a 10mm ratchet, loosen and then remove the nut that holds the horn to the bracket.
Step 5: Step 5: Mounting the Horn to the Bracket
You will need a 10mm ratchet for this step.
Take the newly assembled horn/bracket combo, and set it to the side, as it will be in the way for the next step.
Step 6: Step 6: Locating the Wires
You should be looking at 2 wires at this point: one brown, and the other brown/white.
Step 7: Step 7: Disconnect the Battery
You do not have to pull both terminals. Pulling just the negative is plenty.
Step 8: Step 8: Cut the Wiring Harness
Using wire snips, cut approximately 1-inch under the wiring harness.
"Strip" the wires using a wire stripper or a sharp knife. If you choose to use the later, be careful. You can cut yourself pretty badly.
Step 9: Step 9: Affix the New Connectors to the Wires
Try to twist the connectors. You can tell if the crimp is good if you can not twist the connectors around on the wire.
Step 10: Step 10: Mount Your New Horn and Bracket to the Car
Attach the wires to the new horn.
Re-attach the negative battery terminal.
Test your new, AWESOME horn.
If it doesn't work, it is likely a connection problem. Once you have worked that out, tighten the 13mm nut all the way down, and you are DONE!
Now, instead of sounding like you are a moped in heat, you will command the road with a strong tone and much louder sound!