You do not need to read beyond the first ten words to realize this:
"The map indicates the addresses of all pistol permit holders in Westchester and Rockland counties. Each dot represents an individual permit holder licensed to own a handgun — a pistol or revolver"
In order to have a rational debate on improving gun control we need to use words correctly...
The term you're looking for is 'assault weapon' which is a generally poorly defined term. Under the terms of the previous federal assault weapon ban, an assault weapon (rifle) is any weapon that has in addition to detachable magazines (a "clip" in popular culture), has at least two of the following features: a folding or telescoping stock, pistol grip, bayonet mount, flash suppressor, and/or muzzle mounted grenade launcher, as well as AR-15s, TEC-9s, Uzis, and AK-47s - those models being specifically named and banned.
Since we are looking at New York specifically, then the following apply. Rifles and shotguns ("long guns") do not require a state permit for purchase, nor registration, nor a license. Handguns require all three. There are additional restrictions on handguns that will typically limit their licensees to using and carrying them for sport. New York has an assault weapon ban in place, effectively continuing the expired Federal ban.
That said, at the time, the NRA supported the both the laws that effectively ban machine guns. The NRA's stance on gun control, as well as what the NRA itself stands for has changed throughout its history.
What most people confusingly label "assault rifles", AR-15s, are not fully automatic or even select fire. Many states even ban you from hunting with them because the cartridges are too small to mortally wound animals with a single shot.
The short answer is yes, assault rifles are on a separate registry, but NY states appears to essentially ban both assault rifles and assault weapons.