In this NY Times article, one of the lawyers for FAIR was interviewed:
"E. Joshua Rosencranz, who represented the law schools in both courts, said the drubbing was a mystery.
'I've heard numerous hypotheses,' Mr. Rosencranz said. 'Of them, the only one that seems utterly implausible is that three dozen law schools, 900 law professors, the court of appeals, and a dozen top law firms are all inept at connecting the dots of Supreme Court precedents.'"
I recollect that a group of Supreme Court writers and pundits assembled at William & Mary also voted 8-0 that the law professors would go down. That's not quite the same as a Supreme Court vote of 8-0, but it gave me some reason to think that the outcome was not in doubt.