Colleagues, if we are already talking about the possibility of nuclear war, I would like to clarify some issues.
1. About the simulation from Princeton University. Simulations in which Russian silo-based ICBMs hit US silo launchers, or vice versa, have always seemed very strange to me. They will be empty at the moment of impact! In addition, there is absolutely no guarantee that this strike will disable the silos - they were calculated and tested (yes, missile silos were tested with a nuclear explosion, and more than once) for a nuclear strike. The silos can and will be equipped with various systems to protect against enemy strikes.
Silo-based missiles fly to each other for about 20 minutes, during which time the enemy is guaranteed to launch their own - and not at silos (what's the point of shooting at empty or almost empty mines with a very incomprehensible probability of putting them out of action?), But at other targets - bases submarines, objects of strategic importance in the country, etc. This is the essence of nuclear deterrence.
2. Sea-based missiles, due to their fundamental features (launching from an unknown place in advance), cannot be used to destroy modern, heavily protected silos - they will not have enough accuracy. To disable the silo, you need to get to the right place with very high accuracy. The location of ground silos is calculated and corrected to within meters.
3. Regarding the guy on the button. Command posts in both the Russian Federation and the United States have a GREATer degree of security than missile silos - if only because you do not need to have a "hole in the sky" for a missile. Most likely, only cruise missiles with anti-bunker nuclear bombs, which will arrive not very soon, will be able to destroy them - and in the case of Russian bombers, there is still a huge question whether they will reach anywhere at all

The procedure for using nuclear weapons has long been approved and worked out to the smallest detail. Yes, some percentage of "guys on the button" will piss or go crazy with fear, this is normal.