I like the look of that: but not with all that electrickery.
It's not the first shaft drive fixie that I've seen though. That honour goes to a bike in a collection on display that I saw at the Rural Pastimes Show 2 or 3 years ago. That bike was original built 1n 1906 or 1908, and so was over 100 years old.
It just so happens that I have a Sussex bicycle shaft drive kit tucked away on the shelves somewhere, along with a Sturmey Archer 3 speed fixie hub, and I just happen to have a a hankering to build myself a fixie.