Progress, of a sort. The original rear axle is going back together (slowly), and there is now a lift installed in the shop, which will make doing the rear axle changeover a great deal easier. Plan is to take out the present axle, the 3.27 unit, and move the rear brakes and some other bits and pieces over to the new/old axle, the 3.92 unit. At that point, paint that unit and put it in the car. I am still trying to figure out how to drive the speedometer. If anyone has a source for the item that GGR posted a photo of, that would be very helpful.
It's ironic to me that one of the contemporaries of the 113 car, the Jaguar E-type, was also a lovely car somewhat undone by its transmission. (the original E-type had a non-synchro first gear, in a transmission described in the day as 'agricultural"- sturdy and crude) Jaguar upped their game in 1965 with a full-synchro box which is still very good by modern standards. And, like we are doing with 113 cars, one of the most popular conversions done while restoring E-types is a conversion to a five-speed transmission. The most popular one seems to be a Borg-Warner T5, and there is a whole kit to put one in E-types.
Bud's Benz has also had a kit for a five-speed installation into a 113 car. The photos I saw looked good, but it keeps the original ratios, plus an OD, which is not what I wanted to do. I wanted to get away from the stump-pulling first gear of the MB manual gearbox, and have closely-spaced ratios which would finish up in an OD fifth. I hope we will be there once this is all done.