ignition coil ?

iam running duel points, and noticed that when my car idles for a while and the temp get to 200f it will start to run rough and dies but will restart, notice the fuel gauge showes 5# and the carb bowls are warm to the touch...but the coil is too hot to touch....its mounted on the pass fender in a vert position but is close to my coated headers... dont think ite should be that hot.