I see several possibilities:
1...You disconnected/ left something out with the rewireing
2...There is a poor connection thorugh the bulkhead terminals for the IGN2 wire
3...Either the key switch IGN2 circuit has failed or the switch connector is bad on the IGN2 terminal
IGN2 is hot only in "start" at same time as starter relay "start" wire circuit BUT THEY ARE separate switch contacts. EXCEPT as far as I know some years the IGN2 is derived by using a different starter relay with an added contact, which I've always known as a "Jeep" relay
View attachment 1715721289
What they are calling the "fuel pump ballast resistor" at top left is the "new" added terminal