Great one @velimir. I really like your view point. Only if the majority of the world could see this.
Many weapons have other uses, so unclear if those things wouldn’t exist. For instance, driving a truck into a crowd is using the truck as a weapon, so would your world have trucks? Would it have stones? Knives? Dynamite has significant civil uses.

But to your question. The police would have no weapons. No guns, no batons. To apprehend people, the police would have to be faster, bigger and stronger than the assailant. They’d have to corner an assailant, because without being able to threaten to shoot, the assailant would run away. The assailants would not have guns, but there’s still likely be a lot more crime. Prison escapes would be more common, or prisons would have to be a lot more locked down. No risk of being shot if you climb the fence.

It’d be much harder to protect the President because without weapons, if people for instance swarmed the President on stage, it could get very messy very quickly as the Presidential protectors would need to literally engage in fisticuffs with the attackers.

Theft would likely be more common, particularly by larger groups of people who would ransack a place and run.

War is where things get somewhat murky with your question, because it’s unclear exactly what weapons would no longer exist. Would blockades be more common (and literally blockades, where ships would probably ram each other?). Invading bands of people might simply create fires everywhere.