There are several differences.
The 36 has wood in the front pilar of the door jambs and under the front dash area of the cab. In fact, the door hinges screw into the wood. The configuration of the cab side at the area where the front fender passes the cab is different between each of the cabs. The windshield is shaped differently on each cab even though they look the same, the are not interchangable. The inside door panel is different in the area of the door check, the 36 has a strap as a door check and the 37 has an internal metal/rubber door check.
To the novice, the differences may not be signifcant, in the relams of judging, there is a definite difference. As I look at either, I quickly see the differences.