We've been "in the missile age" since the 60s. Well demonstrated during the Falklands campaign with the loss of the HMS Sheffield to an air launched Exocet missile in '82. Mind, what killed that ship was fire (started by the missile, the missile also took out the main fire fighting system) and, again, the ship was not as prepared as it should have been to defend against the attack. Two missiles were launched, one missed.
The Phalanx came out in '78. The Navy has been working the missile problem for a long, long time. In the 80's the nightmare scenario was several dozen Backfire bombers launching several hundred missiles at the fleet from long range. Later, it was missile patrol boats. Now its drones.
Warfare is ever evolving. Tanks aren't dead yet either, despite drone and Javelins. But the land (and water) scape is ever shifting.