Robbing people is hard work and people are generally lazy. As robbery rates increase people will take self defense more seriously, making it even more work to the point where just working for bitcoin legitimately will be easier and more lucrative than robbery. Of course crime will still happen, there is no utopia.

No, geographically distributed multisig and time locks. Fiat money is trusting something else to manage your money. People will stop asking others to manage their personal security. Jurisdictional arbitrage will happen at small scale with municipal and home defense markets growing.

No I dont see the need for police in the Bitcoin Standard. Think about it as other assets... someone breaks in and steals your TV or your watch collection etc. You call the cops and they investigate.

There are already several companies that track crypto transactions for industry like Chainalysis and the police will partner with them to find where the funds went. I couple of these companies have developed ways to track through tumblers as well so even if the thieves do that police can track it.