No, I don't think being pickpocketed (or having my car stolen or whatever) is "equally as scary" as if my daughter were assaulted or kidnapped. I'd be ashamed to think they're equivalent, lest my daughter believe I view her as valuable as a hunk of steel or a wad of cash.
> Property crimes lead to a generally dangerous living area and people don't like to live in dangerous areas because it necessarily leads to more violent crime.
This is deeply incorrect. As has been repeated and cited over and over, violent crime in e.g. SF is not particularly high (lower than most other US cities), while its property crime rate is outrageously high.