Sounds like an episode of The Outer Limits original 1965 run, The Premonition (Season 2 episode 16). Instead of a soldier, he's a Test Pilot, saving his daughter, not his wife (she's with him), and it's from a military truck, not a car. Semantics.
From Wiki:
Jim Darcy, the pilot of an X-15 rocket-powered research aircraft, and his wife, Linda, become trapped 10 seconds ahead of their time, enabling them to watch time unfold to catch up with them at the rate of about one second every 30 minutes. In the time left before returning to synch with normal time, they see that their daughter, Janie, is about to be hit by a rolling military truck whose parking brake had not been set. Jim and Linda's inability to move objects in the "real" world prevents them from resetting the truck's parking brake or pulling young Janie out of danger. Their problem is aggravated as they soon learn that at the moment when time "catches up" with them, they must assume the exact positions they had been in five hours earlier, when this whole thing started, or they could remain in that state forever.