While the transmission may be from a car it sounds very much like the side cover being used is from the 55 6 cyl truck configuration.
The 55 (6 cyl) truck side cover has a long shaft on the 2-3 shifter with a shift arm pointing up at about the 11 O'clock position. It also has a short shaft on the 1-R shifter with the shift arm pointing down at about the 7 O'clock position. Reference section 7 sheet 1.00 of the 55 truck assembly manual.
The 55-57 car side cover has a long shaft on the 1-R shifter with the arm pointing down in about the 8 O'clock position.
The 2-3 shifter has a short shaft with the arm pointing down in about the 6 O'clock position. It actually crosses under the 1-R shift arm when actuated into 3rd gear. Reference 57 car shop manual page 7-7.
Neither of these side covers is a good match for this truck with this engine/transmission combination.
My recommendation would be to obtain the correct side cover, shift levers, & shift rods. Otherwise you can expect to be trying to un-jam it on a regular basis.
Fred
Last edited by rfs56trk; 05/25/2016 4:38 PM.