The Johnson presidency was late 1963 on thru 1968.
You may have an overall point re: what Southerners let go on; but no need to exaggerate the truth -- when the truth as is makes the South look bad enough...actually, as stated, what you say here is a falsehood. Ever hear of the Emmett Till case in Money, Mississippi (1955)?
You, Lawsone, said NO white men were "accused of a crime against a black man in the entire south"...two white men were arrested for Till's murder: "To the surprise of many people in the South, less than a day after Emmett's disappearance, authorities from Tallahatchie County and nearby Leflore County arrested Roy Bryant and J. W. Milam and charged them with kidnapping. Both men admitted they had taken the boy from his great-uncle's home but claimed they had turned him loose, unharmed, that same night. Three days later, a fisherman found Emmett Till's naked, battered body in the Tallahatchie River, and law enforcement officials then added murder to the charges against Bryant and Milam. A week after the two men's arrest, an all-white Sumner County grand jury surprised southerners when it ordered Bryant and Milam to stand trial for the murder of Emmett Till. Since 1880, more than 500 people had been lynched in Mississippi, and only rarely was any legal action taken against whites who committed violence against blacks."
Source: The Lynching of Emmett Till
I found this just spending 10 minutes searching. The computer -- and Google -- is your friend...So before you launch your next off-base claim, try doing some research...It's readily possible other similar cases existed even before the Till case.
For your repeated claims here, time for you to retract them & revise them...lest you shoot your entire credibility to hell.