Tons of possibilities:
(1) This carb is calibrated for use with a standard transmission. Are you trying to use it with an automatic?
(2) Is there a pertronix conversion in the distributor? If so, has the generator been replaced with an alternator?
(3) Have you done a compression test on the engine?
(4) Will the engine start immediately and idle?
(5) Is the coil breaking down with heat?
(6) Has the engine compartment been painted to where the battery ground to body is inadequate?
(7) Turning to the carb, are you using the flange mounting gasket supplied BY CARTER???
(8) How many turns out is the idle mixture control screw?
(9) Are you required to use E10? If so, has the carburetor idle circuit been recalibrated for the E10?
Rereading my list, number 2 is the most likely culprit!
Jon.