Shock length is irrelevant to leverage ratio calculation, you are looking for shock travel vs. wheel travel, I worked out my Demo 7 has 190mm of wheel travel/63mm of shock travel = pretty much 3:1. This was useful in selecting the right shim for the Rock Shox Vivid I bought, turned out I needed the C tune.

But now you've posted all this other info the plot thickens beyond my knowledge really. You might be able to bang in a longer stroke shock that is the same i2i, but you might hit the tyre on the frame or crunch something somewhere, if it also doesn't feel like pooze and use it's travel funny and the geometry go all whack... But then if you have different linkages, this might help, guess you just need to try it all out or get a smart engineer to mock it all up.
That bike was designed to be pretty stiff anyways eh? Like a short travel jump bike for 4X and stuff?