Like any other busy working parents, Tom Cruise and Katie Holmes enjoy getting out of the house and going to the movies on date night. And on Aug. 11, when the two arrived at the LA premiere of Tropic Thunder — the new hit comedy that features a much-talked-about cameo by Tom — it was clear they intended for the evening to be a special one.

Katie, 29, who had spent the past two weeks in NYC rehearsing her Broadway play, All My Sons, flew in specially for the event. At the afterparty, an energetic Tom worked the room. But while her husband schmoozed, Katie struggled just to stay awake. “She managed to smile, but she seemed really out of it,” a guest notes. “It just looked like she hadn’t slept in a while.”

The very next morning, however, she was back at rehearsal, having flown 3,000 miles overnight to NYC. After putting in a seven-hour workday, Katie changed and headed out yet again, this time joining her 2-year-old daughter, Suri, for an evening at NYC’s Chelsea Piers gym complex. While Suri happily bounced on a trampoline, Katie had less energy. Says an onlooker, “She looked pretty groggy.”

But starring in a Broadway show is Katie’s dream come true — and she’s determined to make it work. But while Katie may get a career boost, her marriage could suffer. “Right now their lives are divided,” notes an insider. “Their relationship isn’t on shaky ground, but things definitely aren’t perfect.”

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