OK, what exactly do you have for an ignition system? Mopar ECU? Aftermarket? Other?
IF this is a Mopar system is it 4 or 2 pin resistor?
There are TWO wires coming from the ignition switch, through the bulkhead connector, and to the (original) resistor. Normally dark blue is "run" but THAT WIRE goes dead during cranking.
The second wire, brown, normally goes to the coil PLUS side of the ballast resistor. This wire (brown) is hot "in start" and is what powers the ignition during cranking.
Wire it up the way you think it should be. Turn the key to "run." Measure voltage at the coil terminals and post the readings. Coil POS should read far less than battery, perhaps 6V. Coil NEG should read 1-2 volts or so, quite low.
The ECU box MUST be grounded.
Go here, lots of good info
http://www.mymopar.com/index.php?pid=31
Normally I'd ask you to download a service manual, but there is isn't one there for 63. The later ones are slightly different (wiring)
However the same site has aftermarket, simplified wiring diagrams here:
http://www.mymopar.com/downloads/1963/63ValiantA.jpg
http://www.mymopar.com/downloads/1963/63ValiantB.jpg
Look at diagram "B" and find the ballast / resistor near the bottom of the page. You can see the dark blue and brown there coming down the page from the bulkhead (firewall) connector
If you have a TWO terminal ballast and a newer Mopar ECU, that part hooks up exactly the same.