If it a commercial product, I would have hoped for a better Handle fitting than a Tee piece for iron pipe.
Instead of using locknuts, a self locking nut, such as a nyloc would look better, in my view.
Or maybe a single nut, locked by a small grubscrew?
Things may get a little interesting when the chain develops a bit of slack and the screws no longer rotate exactly in phase! The road to hell, as ever, is paved with good intentions.
Nice concept, though.
How about making a proper Engineer's job of it and using a shaft and bevel gears to drive the second screw? (Obviously with Phosphor Bronze bushes, or Ball Races, to carry it? With a sealed cover over everything, to exclude sawdust)
As long as money is no object!
Howard