I used a 30V 230VA Transformer with max. 3.83A.
One of the numbers is wrong. 30VAC at 230VA is a current of 7.67A, not just 3.83A which is too small.
The transformer must be rated for 130VA or 4.3A.
the voltage of the transformer without load will be 32.47V.
32.47V*sqrt(2)=45.9V

Is this to much for the MC34072?
The 30V/130VA/4.3A recommended transformer has a voltage of 31V without a load. Then its peak voltage is 43.8V and the rectifiers (yours are way too small) reduces the positive unregulated supply to 42.4V which is less than the max allowed supply for the MC34072 opamps.
But you cannot use the MC34072 dual opamp because each opamp has a different supply voltage.
Instead you must use MC34071 single opamps.
Maybe I can use a smaller value for R1 to hold the transformer-voltage small?
It will waste most of the transformer's power and will be huge and hot.
And the second question is shown in the simulation file of I_C1. The current through the capacitor by 3A output will have peaks up to 6.5A. The fuse will be "4A slow" and the transformers max. current is 3.83A. The same problem in the first view milliseconds.
The capacitor is designed for very high peak current as a power supply filter so it will be fine.
The transformer takes a long time to over-heat but the high current pulses are a short duration.
I think the current pulses will be higher current which is fine.