To answer the questions in order.
In that photo is the PGR Blackfly, running direct to the computer via USB3, at higher than HD resolution. I have also run a USB3 Grasshopper in the same config for 24fps at higher resolutions.
I am not using a frame grabber, I am capturing the frames via software via the USB3 interface.
I am getting 24fps, I can get 28fps without a problem
The enlarger lens is the one I mentioned in the other threads, the Schneider Componon (-S) 50mm
No micro-controller in the projector, as the projector just runs at normal speed, (Which has the advantage that you can also capture the audio in real-time)
There is a magnet on the drive-shaft, and a hall effect sensor mounted on the frame, as the shaft rotates, it triggers the hall effect sensor (i.e. when the film is stationary in the gate). That is the only modification to the projector, though I would also recommend removing at least one of the shutter blades.
The hall effect sensor triggers both the LED light source to flash, and the camera software to capture the frame.
The footage post-capture can be processed through the free version of Black Magic's Davinci software for colour correction, stabilisation and cropping/editing etc.
For Audio, you can also feed the hall-effect sensor to an unused audio channel on your audio capture equipment, this then creates a 'click-track' that you can use to sync the audio later if your projector doesn't run at a perfectly regulated speed. (i.e. you will have a 'click' for every frame, you can then write software to adjust the digitised audio to the correct speed with frame level granularity)
Hope that answers the questions.