The middle square thing is an indicator light, and the red and black items that bracket it are push buttons. You're absolutely right, Paul, in that it appears to be considerably newer than the car and is likely an after-market add-on.
The only thing that confuses me is that the several wires that go to it look like exactly the same white wire that is used to wire most of the Criterion's emergency lighting. My next step is to unbundle the wires and trace them back, hoping to find where they go and what they do.
I'm pretty good with electrical things, but at this point, I'm baffled.