That "Antique" is indeed considered a "Firearm" under NJ law.
b. Handguns. (1) Any person who knowingly has in his possession any handgun, including any antique handgun, without first having obtained a permit to carry the same as provided in N.J.S.2C:58-4, is guilty of a crime of the second degree. (2) If the handgun is in the nature of an air gun, spring gun or pistol or other weapon of a similar nature in which the propelling force is a spring, elastic band, carbon dioxide, compressed or other gas or vapor, air or compressed air, or is ignited by compressed air, and ejecting a bullet or missile smaller than three-eighths of an inch in diameter, with sufficient force to injure a person it is a crime of the third degree.
http://law.onecle.com/new-jersey/2c-the-new-jersey-code-of-criminal-justice/39-5.html