Well, I got it all soldered together, but I am still not happy with the lack of "brightness" of the LEDs, so that makes tuning the sensitivity of FreeTrack a drag.
I have removed the IR filter from my webcam, and placed a visible light filter in its place, but still too much interference from other pixels next to the LEDs.
I shunted the series resistor, so it's only the LEDs now, in series on 3 1.5V batteries. Can't get much simpler (or brighter) than that

I could go for a 9V block with a series resistor, or add another 1.5V battery, or so, but I'll let that simmer for a bit now. I have some work preparations to do for tomorrow, so I'm gonna call it a day. Next weekend another chance!