Shows come up with their own schedules for Xmas and New Years weeks -- special matinees, extra performances, cancellation of other performances. There's usually a special holiday schedule that is released for those weeks around this time. Perhaps this year shows have decided to give performances on New Years Eve (since they'll all be out well before midnight), but then give everybody the next night off to celebrate (are there matinees the next afternoon?).
Perhaps you should call -- I'm surprised so many shows would go dark on holiday weekend Saturday night.
"What a story........ everything but the bloodhounds snappin' at her rear end." -- Birdie
[http://margochanning.broadwayworld.com/]
"The Devil Be Hittin' Me" -- Whitney