Inrush current limiting is achived by series resistance before caps, advanced would be ntc.
Keep in mind that battery, connectors, traces/wires, components in series will all add their series resistance and the cap has esr that adds too - this is not implicitly given in simulation.
As you have already a mosfet for reverse protection, you could go for one with the appropriate on resistance.
Quite not shure what value is added by the mov and the common mode choke when only battery powered.