Momentum is conserved, recoil momentum is the same as bullet momentum, yet recoil does not kill the shooter.
The initial statement that's being refuted here is that a bulletproof helmet would break your neck and thus cannot work.
This statement is false because (besides such helmets existing on practice) your skull can absorb the momentum without too much damage and helmet can absorb the kinetic energy.
But then the bullet hits the villain’s 300lb henchman, who is lifted off his feet and goes flying.
This is why people think bullets are magical momentum machines when in reality, due to air resistance, the momentum transfered to the target is even lower than at the moment of firing.
(He survived, it's not really relevant here as it didn't stop the bullet - there was an exit hole too).