World-wide nuclear holocaust simply is not written in God's Word for the end. Man doesn't have enough nukes to make that happen, nor do the powers in actual control want that. They instead want to rule over all nations, and control who remains here upon this earth.
Does this leave out the possible use of any nuke? No. The powers over this world might actually use a few just to 'convince' the world to sign onto their "one world government".
In 1 Thessalonians 5, Apostle Paul foretold for the end that when 'they' (the deceived) say, "Peace and safety", then "sudden destruction" will come upon them. Paul was saying that in reference to the "day of the Lord" which is to come "as a thief in the night".
Thus for the very end, the deceived will be saying it is a time of world peace and security. In order to influence public opinion to want... that peace and safety, war, strife, famine, pestilences, etc., are pushed upon them, so that they have a contrast, and will strongly do anything to have peace and safety, giving up individual freedoms, national sovereignty, national boundaries, and even allowing supra-national financiers control their economic systems, etc.
And then, per God's Word, when those deceived begin to feel safe and at peace for the whole world, that is when God is going to bring that "sudden destruction" by His consuming fire that will burn all of man's works off the surface of this earth. And that future event will usher all... into the next world earth age, one of Spirit and not flesh.