Is it optimal for the NYPD have overseas offices and agents?

"I believe that we had to bring in different skill sets, people who had different experiences than you would normally get in the police department," New York City Police Commissioner Ray Kelly said when he took office shortly after September 11, 2001 He put a team together that quickly reached a conclusion the NYPD needed to do more to protect the city than simply rely on the federal government..A new counter terrorism unit would provide protection on streets, in the subways, even the waterways. In what is called the Global Intelligence Room, twelve large flat-screen TVs that hang from ceiling mounts broadcast Al-Jazeera and a variety of other foreign programming received via satellite. The Police Department's new language specialists speak, among other tongues, Arabic, Pashto, Urdu, and Fujianese, monitor the broadcasts. There are New York City police officers stationed in London working with Scotland Yard; in Lyons at the headquarters of Interpol; and in Hamburg, Tel Aviv, and Toronto. There are also two cops on assignment at FBI headquarters in Washington, and New York detectives have traveled to Afghanistan, Egypt, Yemen, Pakistan and Guantánamo Bay to conduct interrogations. And there are the Hercules Teams, but I'll leave that for another day. This question asks: Yes, NYC is the main target of the Islamic Terrorists, and every penny spent to keep us NYCers safe, and defeat the terrorists at the same time, is a penny well spent.

Based on the wording of your question it seems you feel nyc tax $ should be spent on NYC and not on over seas offices. You can rest easy in the fact that while NYPD does have offices abroad they are not solving crime and arresting people. Their purpose is to relate terrorist/criminal information gathered in NYC to the office they may be attached to and vice versa.