Many transceivers today are quite broad banded. While the transmitter side is restricted to Amateur bands only, the receiver side can tune through most of the public safety frequencies. And Amateur bands parallel public safety bands. If you're on UHF at 460 MHz, the 70cm ham band is around 440 MHz. They may be listening on your frequency being interfered with on one radio, while they coordinate the hunt on an amateur frequency nearby using another radio.
Hams have the expertise to develop a lot of information.
As in the Wethersfield case, they identified the individual radio involved and developed probable cause that a particular person committed the interference. It was sufficient for a warrant. They may pinpoint an offender's location, perhaps even the particular room inside a house. You may need to educate the hams as to the information you need for a warrant application. But this is as far as hams should be asked to go.