To expand on HRR’s comments. I think this is more or less correct, but I’d welcome any corrections or additions.
The VS, for variable speed McCullogh was introduced early on, right before or after the WW2. There was a pancake style unit for flatheads I believe earlier than that. The electric clutch allowed the driven pulley to split opening to a smaller diameter for increased speed and boost. That’s the reason for the long tensioner arm, to take up the belt length difference, as well as basic tension. I know Kaiser used them on the 6 cylinder big car (Continental IIRC). Studebaker used them extensively all the way thru the Avanti.
Various means were used to control the pulley position, but all basically electrical. High boost low rpm, lower boost high rpm, with a throttle position sw and a Hobbs switch you could do all kinds of things. Often resulting in catastrophic failure of the blower or the engine.
Whether the VR, for variable ratio was in the works or developed for Ford I don’t know. I believe they had an exclusive for the 57 production year. I’ve seen full size cars, bird’s, a station wagon, and even a Skyliner (number 12 of 14 built) with Factory F codes. I know they built and raced some convertibles also. After 57, they were available for many other vehicles.
To the best of my knowledge the 56’s did not have the VS as an option. That doesn’t mean a dealer couldn’t have installed it, or if a performance oriented one been marketing them.
All the McCullogh kits I’ve seen had pieces that bolted on, including the crank pulley. Doesn’t mean you might not need a specific balancer instead of the original. I’ve seen the original instructions fora 55-56 bird. Starts with “if you have power steering, relocate pump to pass side of engine”. No brackets, no instructions. “Relocate battery to trunk”. So they weren’t exactly a bolt on in an afternoon. While the main mounting brackets were often cast and pretty nice, a lot of the smaller stuff was just bent strap with a hole or two drilled in it. Place in vise and adjust as necessary I’m sure.
To the OP. If possible, I’d still like to see a side view of the engine to get a grasp of the alignment issues. You might also try over at yblocksforever, there’s some active racers with F code cars, and more than just me that’s run a VS. someone might just know the answer.
If you google Robert Paxton McCullough he was quite a guy. Big blowers for air exchange on submarines, chain saws, go carts and moving London Bridge to Arizona.
Sorry for the wandering OT.