Internals are being dictated by the input and output shafts for the most part, AS FAR AS I CAN TELL. If you are wanting to put Supra parts throughout the AW4, that may get tricky, because of the extra solenoid in the casing that the AW4 does not have. The engine it is being mounted to will dictate the bellhousing and TC, and those will dictate the input shaft length. I.E. if you are running an AW4 behind a 4.0L, you are going to need the AW4 components at least to just behind the pump... If you wanted to hook up the A340e to the 4.0L, I think you will need the Lexus GS300 bellhousing and TC, plus the wiring is different. I think there were 12 wires going to control the AW4 from the external TCU, while the Toyota ECU controls everything internally and has something like 6 or 8 MORE wires going to the A340e. I do not know specifics, since all I did was change the output setup so all I need to do is plug my engine/transmission combo straight into my stock Jeep transfer case. Only wiring going on there (trans-wise) is one speed sensor, and I may be able to skip that anyway, since there is a "back-up" sensor in the trans itself.
I believe all the Turbo Supras are 23 spline. Dunno about the n/a version.
The A340e DEFINITELY has more 3rd gear clutches, and you can get clutch disks that are dual-sided and thinner to add more torque capacity. You'll also need to modify the valve body to increase the line pressure, further increasing TC.
Also, be careful with those exploded diagrams... the views in the AW4 book and the A340E book showed identical parts (like the output shafts), but they are in reality, slightly different, and that difference was a big deal.