Here you go!
I assume it's obvious you don't have to position 153IR units #1, #2, and #3 left-to-right.
Please note that 153IR unit #3 is wired 'backwards' on the left 2 power terminals.
The "you've got to be kidding" is that per your continuity measurements Lionel apparently released 2 versions of the 153IR during 2002. I am speechless!