I think we can simplify this further. It seems reasonable to assume that any weapon deployed on the surface of the moon would be devolved and dedicated specifically for that purpose, so we can ignore playing theoretical math games :).
It would also be fairly obvious that someone was trying to move several thousand pounds of hardware onto the moon, and launch detection satellites would be even more effective at monitoring the moon. So you've got a first strike, that will be detectable basically immediately, and weapons that now need to travel ~385,000 km and survive even more serious re-entry than the ICBM's based on Earth. Or you've got a second strike capability that cost you billions of rubles/dollars.
Once you look at it like that, its pretty easy to see why the submarine launched weapons were the preferred method for threatening rapid first strike while providing a guaranteed second strike capability.