Belief in the divine likely comes from our brains' hyperactive agency detection system: our brains err on the side of seeing agency where there is none in order to keep us alive.
If a branch snaps behind you and you react as if someone did it but it was really nothing, you're fine. But if it was a human or other animal and you react as if it was nothing, you might be food.
Property crime is largely a factor of poverty, but also social inequality. If you lack a need you will try to fulfill that need. If you feel like you're unfairly "less-than", you're much more likely to engage in prohibited behavior to correct that. But also if you have power or wealth, your brain becomes less capable of empathy making it much easier for you to criminally hurt others - the rich do most crimes.
Religion is just using this evolutionarily beneficial flaw in our brains to justify the unjust social hierarchies which drive crime. So in a roundabout way, religion puts upward pressure on crime.