The one thing I do wish they'd done differently was have Superman try to rescue a few more civilians in the midst of the battle. But I forgive that because his decision to end Zod when he did was ALL about saving that one family (not to mention the entire human race).
Of course, the director forgot that this family was even there in all subsequent shots of that bus terminal. The family wasn't important. We don't even see a reaction or a thank you from them.
The family was a plot contrivance.
Watching the original Superman 2
, the camera is on the civilians nearly half the time
, and on Superman's attempts to save them from the battle remnants.