That's entirely possible - I'm afraid I didn't look it up (sorry). But a lot of the shift is due to Johnson. A lot of local politicians had thought he'd sold out. Truth is, he was a great wheeler-dealer politician. Agree with his views or not, but he got people to do what he wanted them to.
PS I looked up the Little Rock Nine. 1957, so right you are. My apologies for getting that bit wrong.