A specialized ballistic missile defense platform based on a commercial ship hull —
The US military has historically preferred to intercept ballistic missiles outside
the atmosphere. The advantage is that one missile defense battery can cover a
very wide area. A specialized ballistic missile defense ship could be kept farther
back from more forward groups, protecting them without giving away its position
with easily detectable radar emissions.
One thing about BMD systems of all kinds is that the footprint they protect is smaller than you wish it washttps://www.files.ethz.ch/isn/22265/17_Simple_Model_Calculat...
part of the reason why the US has BMD ships is that they can placed in places such that the footprint works since the ocean covers like 75% of the Earth's area. To really be out of range of aircraft, anti-ship missiles and all that you'd have to be hundreds of miles away from the threat and that could well put you out of the footprint. Not to say that you couldn't have clever answers such as the launch vehicle being separated by the radar though most BMD systems use track-with-missile guidance that require the missile be in close communication with the radar for the terminal phase.