In my co-op days I worked on an anti-aircraft missile guidance system - and guess what? That's exactly the guidance logic used to guarantee intercept.
In fact - test missiles were fired at WWII surplus drone aircraft, with a telemetry packet (measuring miss distance) replacing the warhead. I distinctly recall a photo of a B-17 on the ramp with a big gouge in the lower aft fuselage where it had taken a direct hit from the unarmed missile. However the robust B-17 remained in one piece, its control cables intact, and it came back to the drone recovery runway without further damage.
