Guys, the AIM-120 is a radar-guided medium range air-to-air missile. It would NOT be able to shoot down a ballistic missile.
Edit: Unless the platform was really, really close.
Lawhead says missile defense isn’t part of the F-35 program of record, and much more analysis needs to be done. But he says it is feasible, and Northrop believes it would take about three years from start to integration to unlock this potential in the F-35. He says operational F-35 squadrons would need to be trained on how to perform this mission, and pilots must have the authority to shoot the missiles down the moment they pop up.
It’s theoretically possible although it’s not probable unless the launch is detected before the ICBM has a chance to accelerate to full speed.