There’s more interesting background on it from Blog for Democracy. The quote came up in a debate in an election Begala and Carville were running for Miller. Here’s what happened, once Miller’s opponent brought it up:
[W]e were thrilled when Miller wheeled on his accuser and said that back in 1964 when the Atlanta Constitution had printed that so-called quote he’d marched down to the paper’s offices and demanded and received a correction. He’d never say a thing like that. A great moment.
The next day that great moment became one of our greatest nightmares. Al May, the veteran political reporter for the Atlanta Constitution, interviewed Miller as Paul drove them and Shirley Miller to an event in rural Georgia. May made small talk for a little while. Then he sprang the trap. “Zell,” he said, “I’ve talked to all the editors who were around back then, checked the morgue and the archives, and you never asked for a retraction and the paper never printed one.”
“I know,” Miller said, biting the words off the words like they were bitter herbs.
“So why’d you say all that in the debate last night?”
Miller leaned in close to May and said, “Because, Al, I was trying to mislead the people of Georgia.”
A liar and a bigot. And a hero to conservatives everywhere.
The Dish 