Over the years I've played SAMSim, I've discovered you can shoot down anti-radiation missiles, if you're quick enough.

I was just shooting down AGM-88s and wondered if this was realistic?

Are the fuses in the SAM warheads quick enough? Depending on which SAM you're using, your missile's speed + the speed of the ARM is going to be mach 3 to mach 4.

A slight delay when fired against a 15m-20m long aircraft doesn't matter, and might even be a good thing, causing the missile to detonate near the middle of the aircraft instead of in front of the aircraft's nose.

But an AGM-88 is just 4m long.

Wouldn't the combination of being a weak target for the fuse to detect, plus the extreme combined speed, plus the target is very short, make the warhead detonate behind the missile?