Why would you just judge a president on his belief instead of his actions? Even if he was personally a virulent racist (which is debatable), he did more to advance the position of black Americans than arguably any non-Abraham Lincoln president.
He was the Senate majority leader during the 1957 Civil Rights Act. He gutted Eisenhower's bill for the reasons he listed in his quote. Then he claimed Eisenhower's reforms as his own in 1964 because he thought it would expand his political power. He helped black Americans by delaying Civil Rights by 7 years?
The Great Society "welfare" policies were born of paternalistic racism. He believed black Americans couldn't take care of themselves; therefore, the government would keep them out of the system by putting them on a government allowance and government healthcare plan. He was pro-abortion because he knew it was a form of backdoor eugenics, and Democrats basically teamed up with Alan Guttmacher to make sure that contraceptives and abortions were readily available to "low-income" (read: black) Americans. In LBJ's defense, it was soulless Nixon who put Title X through.
Johnson's vision for a Great Society was nothing we would support today, yet people defend his legislation as if it were religious canon. I just wonder how many more years it will take before people come to their senses.