Damn thats cool
The easiest thing to do would be to get a bread board, and stick 4 LED's on it, then mount that board (via glue or something) where the RF board is.
The LED size you need are 0603 but, just about any SMD will work.
Then just hook it up to batteries, or wire it into the lamp. To get the RF board working you'd need to wire it up with power, then somehow get all the other LED's aside from the middle one working.
Here is the RF pinout I found:
1 - 3.3v
2 - usb-
3 - usb +
4 - Ground
5 - power on/off switch / goes to Southbridge 21E (directly from document of pinouts)
6 - Serial Data
7 - Serial CLK
8 - Ground
9 - Goes to pin 16 of J1A1 (extra pin on the back USB port) but is not connected to anything on the RF module. (directly from document of pinouts)