While effective at curbing “petty crimes” such as credit skimming / cloning, EMV does not address more sophisticated cyber-attacks that target backend systems which contain card holders’ most sensitive information.
When it comes to cybercrime, the police really can’t and aren’t going to protect residents of your town. The same goes for all towns and cities. Unless you’re talking a high six-figure theft, it's unlikely an officer will be assigned to your case.
Cooperation in the underground economy could enable a fraudster in Russia who masters the art of phishing to team up with another fraudster who already has the infrastructure of cashing out compromised online banking accounts of US banks.