I own an old old three cubic foot mixer. It is electric motor powered. It is in tough shape but it works and it is clean inside so I use it and hope it doesnt break. I was thinking , like you are, about how neat it might be to have it 3-pt mounted. But on my current project, and maybe others you will think of, it would be a big hassle if it was tying up the 3-pt. Currently I have a post hole digger on the 3-pt and I drill a hole, set a post, mix a small batch, pour it in the wheelbarrow, dump it in the hole around the bottom of the post 10-12" deep. If the mixer was 3-pt mounted, I'd have to switch implements every 15 minutes. I am finding it great to have the loader on the front to bring the sand to the location where the mixer is, and water is easy anyway with a hose. So a mobile-mixer doesn't have great advantages to me. Just food for thought.
I do like your differential idea. I assume you'd block the unused shaft from turning, basically using the diff as a right angle box. Work out the math so you're sure it will run slow enough. I find that a mixer running about the right speed actually drops the mud at almost the top of the circle. If it is too fast the mud just goes around without doing any blending, stuck to the drum.