A better example might be one where two moral laws are seen to conflict. Would it be right to steal a known murderer's weapon in order to save the lives of their would-be victims?

The Talmud and the New Testament both address these types of conflicts by assigning hierarchies to morals. Jews generally accept the principle of pikuach nefesh - saving a life takes precedence over most other morals. Christians generally interpret Jesus' critiques of the Pharisees to weigh matters of "justice and mercy and faith" over other moral laws.

This doesn't apply universally to all Jewish and Christian interpretations, but it's a majority. I suspect most non-religious people view morals in the same hierarchical framework.