Yeah, I live very close by, and I usually hear LSP police on ch 1, a repeated system and ch 5, which is simplex. I have heard JCPD use ch 5 to reach the LSP park police. All of that is in the clear. Ch 5 is usually used by the park police to talk to one another within the park. Ch 1 is usually used for registration checks, etc. All in the clear. The ULS only lists one transmitter location for the Ch 1 repeater - way out in Trenton, I believe. That's quite a haul from Jersey City!
For the US national park police, you want the NYFO (new york field office) frequencies - these are also in the clear, and the units that patrol in the area use the NYFO frequencies for vehicle registration checks and the like. This is a wide mix of the national parks traffic in the NY region, but does include some liberty/ellis island operations as well as the units in Liberty State park (e.g., the guys guarding the land bridge to ellis island) and over in battery park. All that is in the clear also, FM repeaters. No mention in ULS where the heck the transmitter/receiver sites are.
I'm fascinated by the coverage the repeaters have for both agencies above - LSP apparently is dispatched out of Trenton/Montclair, and the NYFO has a very wide coverage area, as the parks are all over the place. Must be voters in place for receive, and the transmitters...? Maybe a single-frequency network?