It was running fine before the exhaust work, could the mufflers be so restricted to cause it to die, seems doubtful, but I suppose anything is possible.
I would start it and when it starts to die, goose the throttle a couple times and look to see if it’s getting a good squirt of fuel. If it’s getting the fuel and still dies, then check for spark. Could be a coincidence that the condenser or coil has failed. If you have good spark and fuel, then do what 70cobrascj said, uncap the exhaust at the headers, that will either identify or eliminate the exhaust system as being the problem.
I love these old cars, but sometimes they like to see you struggle a bit before you get to enjoy them, lol