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Or the sensitivity scale could be based on the minimal number of moves(not
 turns) needed to threaten an opposing piece.

For example:  FIDE might be considered equal to 2.  White moves then Black
 can threaten.  1. e4 Nf6(or d5)

This will be a fairly easy value to quantify for each game and it involves
 a prove-able dynamic.  Thus limiting the potential for un-intended error
 based upon bias.

Or the value might be the minimal number of moves to threaten an opposing
 goal piece.  This could be difficult to quantify since it might assume
 poor performance by one player and superior performance of another.  And
 would this value be applied regardless of the potential of capture of the
 threatening piece?

The idea could be to calculate the minimal number of move before one
 player is forced to perform a move in defense.