My guess is there'd have been more survivors inside the rock than out on the ships. Chances are with the miles and miles of tunnels, masses of supplies and so forth, many of the civilian population would have been accommodated inside as well.
However, the doors would have to be shut at some point... Those on guard at the time would have been in a very tough position with many more desperate people wanting shelter. Of course warning time may have been very limited too - if it was a sub launched missile, it may have been just a couple of minutes, barely enough time to "batten down the hatches" so to speak.
Given the escalating nuclear exchange elsewhere, the rock may already have effectively been locked down, with much of the population outside evacuated. Blast doors would only be open as required to pass that moments traffic and ventilation ready to shut down automatically at the first sign of trouble. This is one place in the world where it could be expected the inhabitants could ride out a direct strike of some size.
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If it moves, shoot it, if not push it, if it still doesn't move, use explosives.
Nothing happens in isolation - it's called "the butterfly effect"
Mors ante pudorem
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