Missed a major goof

Rating: 10/10 (30 December 2019)

In the scene at the end of the tour when Tony and the two members of the trio are drinking vodka shots in the dining room where Dr. Shirley is not allowed the Russian cello player explains why Dr.Shirley plays the Deep South since it's clearly not for money. He explains that 6 years ago in 1962 Nat King Cole was touring the South and was beaten up.
That being the case it would mean the year of this movie would be 1968, not the early 60's as depicted.