The original program for the ceremony had Christie's remarks followed by Idina Menzel's performance of the song. That sent social media aflutter with speculation that the scheduling was a jab at the Republican governor, whose staff was accused of intentionally clogging traffic near a bridge that connects New York City and New Jersey to punish a political adversary.
But just before the ceremony, museum spokesman Anthony Guido announced that Menzel, star of the Broadway show "If/Then," was sick. In her place, Broadway singer LaChanze, a Sept. 11 widow, performed "Amazing Grace."
Guido said the change had nothing to do with Christie or the song.
A spokesman for "If/Then," Tom D'Ambrosio, said Menzel has a cold and had to pull out of Wednesday night's performance at intermission. A post on the show's Twitter account said Menzel also was sitting out Thursday evening's performance.
AP Drama Writer Mark Kennedy contributed to this report.