Direct-Lighted, two diffuse Jansjos full coin, f5.6:

Crop from the above:

Beamsplitter-Lighted, flood diffused, full coin, f5.6:

Crop from the above:

Sorry that the images are at a bit different magnification, and not fully white balanced.
The beamsplitter image looks like it is suffering from diffraction. Both images were taken using a 75mm Apo-Rodagon D M1:1 lens at f/5.6, so the lens is probably not at fault. Is there an optical property of the beamsplitter itself that might be causing this effect? Or maybe there is some aspect of my setup, such as not having precise 45-degree alignment (I am less than 1 degree off), causing the problem?