That puts you even farther away from the missile than launching from Earth. ICBMs go up to ~400km, GEO is ~35000km high. Clearing ~34500km in the required ~1-2

That puts you even farther away from the missile than launching from Earth. ICBMs go up to ~400km, GEO is ~35000km high. Clearing ~34500km in the required ~1-2 minutes would require the interceptor to travel much faster than the fastest things ever launched by humanity.