>america is more dangerous than many 3rd world
it isn't. Crime is highly concentrated and the vast majority of, at least median affluent America, is about as safe as it gets. Same goes for any big cities, usually you can count risky streets on one hand, where 90% of the violence happens.
Not to mention, developing countries are if anything the only places where kids still run around and play on the street. I've spend a fair amount of time in Latin American countries with much higher violent crime rates than most of the world and you don't see much helicopter parenting
if anything in the first world this style of parenting is a result of excess safety, not lack of it. The world has seen a secular decline in violent crime over the last few decades, and yet this paranoia is distinctly new.