Personally, I would be very hesitant using a flipped Falcon gearbox because it puts the delicate, expensive Talon FX (the motor controller portion of the Falcon) and the critical CAN bus very close to the edge of the robot. If you’re being defended and the defender rides up the side of your bumper, you could pretty easily destroy two Falcons and quickly be out $280. Or you can disconnect your CAN bus, so none of your motors will work the rest of the match. For me, the extra few inches of space in the middle of the chassis will almost always make up for the added security.
Switching the inner and outer gears would also work to move the pinions further down the shaft. It would require spacing the 56 tooth gear further from the tubing but ultimately this would solve your problem without changing much of the original design. Thoughts?
I totally concur, as long as that bull gear is only supported on one side; that gear has more torque on it (meaning more lateral force, assuming pressure angles are equal/comparable) than any of the others. Rather than what I suggested above, extending the bearing plate down so it also supported the output shaft and swapping the gears so the pinions are close to the Falcons would probably be even better.
Edit: maybe not a common term outside maritime/naval circles: the bull gear is the gear carrying the greatest torque in a drive train.