It worked great!
I made two versions, one for twisting two wires and one for twisting three wires. The three wire one is documented here.
Step 1: Materials
Coffee Stirrer (must be hollow)
Pliers, scissors, and/or knife (Swiss Army Knife, preferably)
Small gauge wire to twist (I was twisting solid insulated wire-wrap wire, 30 gauge)
Step 2: Straighten Wire
Step 3: Make Wire Attachment Points
Move down about 7/8" (2.1cm) from the end of the hook and bend another hook using a similar technique. Then move down the same amount and make another hook.
If you are only bending two wires, just make two hooks about 1.5" apart.
Step 4: Form a Triangle
When you get them approximately equal, bend the last end so that it crosses the midpoint of the opposite side, forming something that looks like a 4.
Step 5: Form the Shaft
Step 6: Add the Holder
Step 7: Form the Crank
Step 8: Twist Some Wires!
Take the free ends and tape them to the table tightly (keep them spread apart a bit).
Now, hold the jig by the stirrer, pull the wires slightly taut, and crank the handle with your other hand. Continue to twist until the desired tightness is reached. Be careful not to twist so tight that the wires break. When you are done and release the crank, it will unwind a turn or two due to tension, but the twisted wires will stay together.
Cut the wires from the hooks and slide the remaining loops off the hooks and discard. Carefully pull up the tape and dress the ends of the wires to the length you desire, strip them, etc.