You'd think they would, but I'm not sure if they actually link or not. A Hacklebarney map has proved elusive for us too, and all we have to use is a map from the "Hiking the Jersey Highlands" book which may not be showing all the trails. The Patriots Path map doesn't seem to have anything that links up either. I attached a screen shot of our GPS trail data from the area and you can see where the trails come close.
There is a large green area of Hacklebarney on this screenshot that we haven't hiked, and perhaps that is due to a large portion of the park being off limits to hikers and hunting only: "about two-thirds of the park are reserved for hunting and kept separate from the public access portion. Only 273 of 893 acres are for hiking.