Does the US reign supreme in nuclear weapons?

It had looked as though the world was rid of the fear of nuclear war. Instead now, there are signs, in the East and the West, pointing in the opposite direction. The arms race, including atomic, is back. And in the US there are those who theorise a superiority capable of pre-emptively eliminating Russia’s and China’s nuclear arsenals. However true this is, it seems clear that the international scenario is getting ready for a new “cold war”