This might be the old thread you were referencing earlier:
https://talkelections.org/FORUM/index.php?topic=172787.0
If Carter or Johnson didn't win the white vote, who was the last person to win it? Stevenson? I didn't realize non-white voters made such a huge difference in the South fifty years ago!
1964 was the Freedom Summer and the year with massive efforts by SNCC and other activist groups to register as many black voters as possible even under the Jim Crow regime. Large efforts to do things like train locals to pass the literacy tests. 1964 was also the first election after the 24th Amendment struck down all poll taxes in the US.
Even though 1964 was before the Voting Rights Act of 1965, it'd still feature the highest level of black voting in the South since probably the 1890s.