Well - here's a couple of photos of the '56 linkage and a diagram that might help. This isn't a Carter - but a lot will be the same. I had some trouble with mine - rapid throttle closing would cause problems with "overtravel"and lock things up. The Phillips screwdriver is slipped through some alignment holes that establish the linkage positon with the carb set at curb idle. Then you work on back from there.


The long link rod to the carb and the ball stud attachment for it came from Speedway. It takes a crazy dogleg to clear everything at full throttle. If you've got the original Ford part - it will show you the way to go with it. I tried to choose a carb lever hole that would make the arc of travel about the same as on the teapot. There is a spec in the Ford-o-Matic book for the accelerator pedal height required. The travel to the floor has to be enough to fully open the carb throttle - then continue on to move the linkage further in the kickdown slot. This travel allowance then allows the kickdown rod further downward movement beyond full throttle.

I finally had to put a positive stop down at the point shown in the diagram - on the back of the manifold - to stop the thing from toggling over and locking into an "idle" position. This would happen when you deliberately side-slipped the pedal and let the springs throw everything rapidly back to neutral. The "stop" is a sized stack of washers under a longer bolt installed in the manifold bellcrank mounting. On mine, you set-up this stack of washers after you have established the right travel to the floor.
With your linkage locked as shown in the first photo - pull up the kickdown rod and adjust the half clevis to "just" fit on the outboard pin - then give it one turn of slack (rod moves downward). Its a start - may take more to get it to work right. The Fordo book actually recommends a test port and pressure setting to get things just right. What I do know - you've got to allow enough travel of the pedal or proper kickdown rod adjustment will be tough to find.
Good Luck
Steve Metzger Tucson, Arizona