Ballast, Blaster II, ohms, current, friggin volts!

Excellent answers above. What ignition module are you using? I can't make it out in your photo, but looks like maybe a GM 4-pin HEI. If so, you don't want a ballast resistor. As 67Dart273 says, the main purpose of the ballast is to keep the coil from getting too hot, which happens with older ignition systems - points or original Mopar box. Later ignitions - HEI, Mopar spark computer, Ford TFI manage the dwell time so the coil doesn't overheat with the full ~13.4 V voltage.

Forget about measuring resistance of your ballast and coil. For <1 ohm, you need to use the "4-wire method" with "Kelvin connections", which usually requires a special scientific multimeter. Best you can do is subtract your lead resistance, but even then it is hard to get a good connection at the probe tips. Even then, as the ballast and coil heat up, their resistance greatly increases.