We're using the existing wiring to the LED strip and the power supply, but replacing the controller with the Sparkle Motion board and adding our own pushbutton.

Solder the red and black wire from the lamp's power supply connector to VBUS (red) and GND (black) on the USB breakout.

Use the three center screw terminal connectors to connect to the three wires from the LED strip that's inside the lamp: black to G, yellow to 22, and red to +.

Connect one leg of your button to 18 and one to G on the Sparkle Motion. The button won't work if you use the screw terminal data pins -- they are output only.