Ignition Switch Connector Fail

Thanks for your answer. I'm from Germany and I'm not familiar with the American cable designations. is it correct that the larger cables in the ignition switch connector are awg 7?
No on both the size and the system.
The sizes can vary with the year and model, however 12 gage is common.
Wire gage in these cars is to an SAE standard rather than AWG. The diameter of the conductor bundle is about the same as AWG, but the strands are slightly larger. I don't know why this was done, but that's typical. As a result the wire density is a little lower than AWG.

Diameter of wires increases with smaller numbers.
18 gage is the smallest found in 1960s Chrysler products.
12 gage is often found on main power supply circuits connecting at the main splice.
10 gage can be found in a few places, and some cars even 8 gage with some less common options.
The feed to the starter is usually 6 or 4 gage.

The gage sizes are provided in the service manual diagrams.
Go to www.mymopar.com and download the factrory service manual(s) for your year. (free)
Turn to the back of the electrical section and you will find the diagrams.
Each wire segment is coded with the a circuit code, insulation color, gage size.