As other's have said, it isn't possible to determine with the information provided. The determination of the available fault current is usually done with software by a professional engineer. The process involves reducing the impedance network to a Thevenin equivalent impedance measured from the point of interest. All conductor sizes/lengths, motor horsepower, would need to be known/estimated.
The transformer secondary conductors are incorrect. You'll need 6 sets of 350, (assuming conductors in conduit without derating) or some other combination providing required ampacity. To properly calculate the available fault current at the switchboard you will need to know the impedance of the conductors, which requires that the correct size, length and # of sets be determined.
It's not likely that a distribution center (Switchboard?) at this ampacity will be available with bus that is braced for anything less than 65 kaic at 480V, same goes for the 3200 amp insulated case breaker. You will have to be careful if you are using distribution panels in the switchboard, I would recommend matching the breakers AIC rating to the switchboard bus rating. This allows for a fault duty of 2.78% equivalent impedance, which the switchboard would likely never see, even if the utility replaces the transformer with a lower impedance version in the future.