I do not think that kit will fix your problem. Who's pump is it? I would be suspect of it. I would run a high volume Carter mechanical. Who's ignition do you have? I have seen stock type pick up coils act like that, they get hot and the insulation in the pick up is not up to the task. Years ago it was because of the parts age, nowadays who knows.
MSD billet electronic ignition distributor, MSD 6AL ignition box, MSD Power Blaster 2 coil. Carquest fuel pump. Everything was brand new.