... take the old PS shaft and just pound it into the pitman arm then pound it back out...
Almost that easy; think of what a blacksmith does - or would do in this case...
Besides a 10-pound hammer and an anvil with a 30mm hole in its top face (or any suitable heavy piece of steel to support our workpiece), we need two tools: First one is a piece of 1-1/8" round steel, turned down on the lathe to conical shape. Same taper as the original shaft and the smaller end barely protruding when stuck into the original MS arm.
Second tool is the already mentioned, splined shaft out of an old PS box.
Then comes the forge (or a good torch instead), to apply heat to the splined end of the arm, until it turned cherry-red. Quickly insert tool #1 and give it a few good blows with the hammer. Then knock it back out, heat up again, and eventually repeat process until the splined end of the second shaft (tool #2) barely fit. Now continue in the same way until the splines went in, almost all the way through. Stop at 2mm from being flush with the backside of the arm. (2nd pic, post #10)
The pitman arm is just forged steel. Once red-hot (and soft) it can be reshaped as desired without really compromising its mechanical properties. Still, I'm only telling what I do...but not really recommending this!
As always: OFF-ROAD USE, ONLY!
G.