While I think that it's an exaggeration to say that Gore would have revived the Dixiecrats, I do think it's at least plausible that he could have a more limited effect on the party's fortunes in the South. Specifically, in the 2004 Senate elections, where IOTL the Democrats lost five southern seats. Supposing he wins re-election that year on the back of a successful defeat of Bin Laden, those five seats could be held. Throw in a victory in the following year's gubernatorial election in Virginia, and the party wouldn't be in a half bad position overall. Gore being the environmentalist that he is, he might use his political capital to implement a cap and trade system like the ones that Europe pursued at the time. That might seem more likely to succeed than another health care push.