The ACC connection is not really explained well on a lot of Dc-to-DC chargers. Your first thought is that I would attach the ACC input to the Alternator D+ terminal or to some circuit that is hot while the engine is running. AKA the alternator should be charging.
The reality is the input of the DC-to-DC charger is much like a Blue Sea ACR. It monitors the voltage, and if the voltage is high enough it turns the charger on, if it falls below a certain voltage it turn the unit off. These voltages are usually in line with what you see when the engine is on or off.
In the case of your ATEM unit the turn on voltage is 13 volts (no ACC) and the disconnect voltage is 12.5 volts (no ACC). IMO the 12.5 settings is to low, but a separate discussion.
Now if you were running a vehicle with a Smart Alternator the voltage output is much different. So for that vehicle we would set up the ACC input to the D+ signal or Engine Running Hot circuit. This would change the DC-to-DC charge to start charging at 12.5 volts and turn off at 10.8 volts This would be more inline with the output voltages of a smart alternator.
Now back to the blown circuit breaker. Sound like you were hooking up the ACC circuit, but did it at the alternator with the new unit and were previously hooked to a different fused location. If the previous fused connection was not correct or working as you expected this could somewhat explain the issue.
With the new alternator hookup, if the ACC hooked up to the D+ signal, you would have the capability to run at the lower voltage setting and putting you closer to the ratings of the breaker.
Even with that hooked up that way, the load you presented to the alternator would have to be to much for the alternator to keep up with. You went with a larger alternator, so we would think you have more available power, but one would need to look at the power curve to be sure. The important variable is what the output is a idle.
I would get the vehicle in idle (normal) and measure the voltage. I would then turn on the ATEM and measure the voltage, as we increase the load the voltage will go down and the alternator will produce more power to bring the voltage back up. After that you would turn on headlights, air conditioner, heater, or any other consumers that are getting power from the start battery.
Ultimately you hope the Alternator can keep up with the consumption at idle. If not, and the voltage drops below 12.5 (No ACC) the ATEM would disconnect and save your alternator and van electrical