I wonder how they get it to work in a dark room with some _very_ bright moving lights? IR with really good visible light filters maybe?

I think so. Like most motion-capture systems, Vicon systems use high-frequency strobe lights to illuminate markers being tracked. IR strobing is definitely an option for these systems. I, too, am quite impressed that they worked in that situation, as the range on IR strobes is usually much worse than NIR and especially red ones. I suppose with the way the lighting is set up the cameras could have been in relatively close proximity behind the stage.