Yes,
THAAD can do what you say, and the real performance will not be published openly. But if THAAD was the primary protection, then it would be one or two per major metro area. Patriot is even shorter in range and the one in Alaska is the long range. So we are designed for a long, mid, and short range multiple defense system. We would need them all.
And do not forget the Aegis, they can patrol the coast where ever a target needs defense. My understanding is that they are in the THAAD range of missile defense.
One final comment, these systems are not designed for long term stand off defense, they are for the one or two missiles that might get launched in a rogue government launch or an accidental launch. So these would not be a defense if we thought we would “live” with NK being armed. The concept for that is mutual assured destruction, something that we are not sure NK would understand.
Thank you for your expansion on THAAD & Aegis details.
You might find this site as fascinating as I did;
According to this source, not only is THAAD capable of defending against ICBMs but the AEGIS SM-3 missile is quite a bit more capable than THAAD, and the whole of the US can be defended by just a few missile ships.
I don’t know if this is accurate information, but
Take it for what it is worth.