If the Patriots failed to shoot down Scuds designed in the 1950s, no way in hell they’re ever going to intercept a Kinzhal:

Governments have overstated the effectiveness of missile defenses in the past, including against Scuds. During the first Gulf War, the United States claimed a near-perfect record in shooting down Iraqi variants of the Scud. Subsequent analyses found that nearly all the interceptions had failed.

Intercepting a missile is not the same as an airplane that flies at a much slower speed and a much larger target.