If it has to have the spacer for clearance, it is the wrong carb/linkage. The 360 originally only came with a 2 barrel in the F series. From memory, it should be an Autolite 2100 2 barrel that was a 600 cfm carb. If it is something else, it's been jerry rigged. Doesn't mean it won't work though but you'll have to either build a spacer or get the right carb. The linkage should be just a snap on ball to the drivers side. If it is different, you probably need to use the same carb and build a spacer. Since yours is made of wood, obviously you don't live where it gets cold otherwise icing would be an issue during the winter. If it has the iron intake, a lot of the carbs would boil the gas in the bowl and a decent idle was impossible. A lot of the builders cured this by not punching the gaskets at the riser in the manifold and drilling a 1/8" hole on one side only. If it is an aluminum intake, it was common for a rebuilder to not punch the gaskets at all attempting to keep as much heat from the carb as possible. Just for fun, you might check the classified ads at Hemmings Motor News for carb parts and spacers.
http://www.hemmings.com/