With it running it is show 11 volts with the battery hooked up. But if I pull the positive cable it dies like the alternator is bad.
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Either your alternator isn't charging, or there is an issue with the wiring, you should be around 13-14volts at the battery terminals with it running.
"New parts" from parts houses aren't always new, if the wiring is fine, have the "new alt" tested.