When you start "frying wires" that's a REALLY bad deal because some short down in the harness inches or feet away from the obvious damage can heat up, melt two wires together and make a mess in a short time
Did you get it home? Might be easiest to "de wire" the car except main battery, use a screwdriver to jump the starter, and "hot wire" enough of the ignition to get it home
FIRST THING I WOULD SUSPECT is that somehow something got overheated by welding