This post is starting to make me think people say "strict" strictly as a euphemism.
What I think it means: The parents never bend the rules for their kids.
What it apparently means: The parents have anger problems.
To me, not very important. Quality of writing ranks higher for me.
I don't think a different voice can fix a bad movie. That being said, I can't think of any actors whose voices I can't stand.
OTOH, Brotherhood of the Wolf does come to mind here. It's a French movie; I've watched both with subtitles and dubbed. The voice actor for the English dub doesn't quite fit the character.
Oof, that's a sobering realization.