shouldn't have done anything.
As for the racism issue...here's an excerpt from LBJ's former aide, Bill Moyers, who got this first hand...
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WHILE Lyndon Baines Johnson was a man of time and place, he felt the bitter paradox of both. I was a young man on his staff in 1960 when he gave me a vivid account of that southern schizophrenia he understood and feared. We were in Tennessee. During the motorcade, he spotted some ugly racial epithets scrawled on signs. Late that night in the hotel, when the local dignitaries had finished the last bottles of bourbon and branch water and departed, he started talking about those signs. "I'll tell you what's at the bottom of it," he said. "If you can convince the lowest white man he's better than the best colored man, he won't notice you're picking his pocket. Hell, give him somebody to look down on, and he'll empty his pockets for you."
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That's the real LBJ...and his ACTIONS rebut anything that your Mr. Dunphy conjectures...
Link: https://www.washingtonpost.com/archive/opinions/1988/11/13/what-a-real-president-was-like/d483c1be-d0da-43b7-bde6-04e10106ff6c/