Brandon,
Runs for 5-20 seconds then dies? Can you watch the front float level while you do this procedure with a mirror? With the air cleaner off, hold it at load, and watch 2 things - is there fuel still in the float bowl (1/2 way up the glass), and does the stalling go hand in hand with the secondaries opening?
Do you have a fuel pressure gauge set up at the carb? Again, watch while you hold the RPM up, and make sure it is not dropping off. With stock jets, you want a constant 3 PSI or so.
On the other side, pull off the distributor cap and rotor, steal the ones off your dad's race car, and try it again. Listen for 'ticking' under the distributor cap at idle - if you hear it, it is arcing, and your coils are spending all the energy arcing in the distributor instead of at the spark plug!