Okay, so this is what needs to be inserted in the Jack.
Very rough right now. By my measurement with calipers, this won't fit, so I need to shave it down a lot more. I will work on this more before I start cutting into the CC.
Also, some measurements of the face/wall thicknesses with a micrometer and calipers (as taken from the BMX Salute):
wall - range from .030" to .040" depending on spot; varying wall thickness
inside face, top to bottom - .537"
inside face, side to side - .469"
face, taken on nose - .125"
With measuring, it has been noted that the face of a BS CC is wider than a Topre CC, which I did not previously notice. Thus, I will definitely need to shave the BS stem down considerably. More to come later.