So this is a bit tricky to explain to people, even a lot of people who grew up in an "Evangelical" household. But I'll try to do my best here, because understanding this is important right now.
The Rapture is an even bigger part of the post-WW2 evangelical theology and identity than you think. This is mostly true for baby-boomers, and decreasingly so for subsequent generations. But we are still here because baby-boomers still have a lot of power in America. To understand Baby Boomer American Evangelicals you have to understand that the world they grew up in really did look like the end times.
Consider their lives: they grew up during a time of absolutely unprecedented middle class wealth, AND they had a new unprecedented national mass media/advertising system telling them they are really special (if they buy the right stuff), AND they are growing up in the shadow of the atomic bomb, AND F***ing Israel was refounded! So yeah, the message that Jesus was going to come back during their lives was damn convincing.
Now, the refounding of Israel is not prophesied in the Bible. In fact, that theology is considered by most Christian denominations to be flat wrong. For most denominations, Christ refounded Israel when he instituted the Church at Pentecost. Israel means "Struggles with God", and everyone who "Struggles with God" is a part of the people of Israel. In the mid-1800s a dude misinterpreted scripture and tried to created the concept of "dispensations". Part of this misinterpretation included a reconstruction of the physical temple of Israel (again this was never orthodox theology. Orthodox theology teaches that Jesus' body is already the reconstruction of the temple).
But this wrong theology gained quite a following, primarily in the US, as "Manifest Destiny" was being widely taught. So, Zionists were happy to piggy back on this theology and make it into a self-fullfilling prophecy.
So the refounding of Israel, combined with a number of unprecedented social, scientific, and governmental events, really convinced the baby-boomers that they were special.
Meanwhile, the American Evangelical movement in America, which traditionally taught a more "personal" view of salvation and reverence, was taken over by charismatic sales people that saw an opportunity to mix the "personal" salvation theology with conservative politics and modern mass media advertising to create the Evangelical Right that we know today.
Then came 9/11. Which was also hugely influential. In the boomers minds, 9/11 was supposed to be the great Armageddon war. And there just happened to be an evangelical in the white house to lead the war. This was finally their moment.
...Except it was a quagmire, which they could not explain. Then a black man with African and Muslim names was elected president and they absolutely lost their minds. (Enter the tea party.) Everything for them fell apart.
And here is the real kicker that blows the minds of progressives: they know Trump isn’t Christian. In fact there is a not small minority of American evangelicals that voted for him because they believe he’s the Antichrist and that his ruinous presidency is necessary for Jesus’ return.
That's where we are today. We are being ruled by people that really believe that in order for Jesus to return the world has to be destroyed.
But that's still not the end of it, because this theology has also been adopted by a new generation of atheist techno-utopianists. Just like the Christian Right has decided that the world must be destroyed to recreate it with them as kings, so does the atheist techno-utopianist right. (It's just the method is different. But the results are the same.)
If are an atheist this fact is probably insulting to you, because you feel implicated. But you need to consider the fact. The people in Power are not all Christians Nationalists. Many, if not most, are atheist techno-utopianists that are happily partnering with the Christian Nationalists.
As much as we are being ruled by a Christian Right that wants to destroy everything, we are also being ruled by an Atheist right that wants the same thing.
I feel like you didn't quite cover the motivation and reasoning, so I'll try to throw this in here with my limited scope of knowledge.
So the goal for these people is specifically the Rapture. For them, it's a get out of death free card. They genuinely think that if the rapture happens, they can skip the unpleasantness of dying and go right up to heaven in perfect heaven bodies, and can gleefully watch bad people burn and suffer on Earth.
Their problem, as they see it, is that it only is supposed to happen right before the apocalypse, and that no one knows when that's supposed to happen exactly. But there's signs for when it's supposed to kick off, like the Jews rebuilding the temple and sacrificing a bull on it or something.
That's a big reason why they pushed for Israel to be founded, because they want that big sign to finally happen.
So for years evangelicals pushed for their congregations to get jobs in politics and get as much political power as possible, so they could stack the deck as much as possible to get governments to jump start the end of the world. That'd why so many politicians talk about God and Christian values, because for the politician it's an important voting block to appeal to if they want elected, or they are a plant from these churches.
They don't care about the future of the planet, because to them it doesn't matter anyway, it's all going to be burned up. Throw in prosperity gospel, and then you have the idea that clearly God wants you to destroy the planet for money because God is rewarding you with fat stacks.
This is part of why they think rich people are good and working for God. They are clearly God's chosen, starting the final conflict between heaven and hell.
They don't care about micro plastics, they are going to float off to heaven any day now with new perfect bodies. Who cares about animals, they don't have souls anyway. They don't care about people dying, they are going to be judged and go where they are supposed to go. They want to convert as many people as possible to get into heaven, so they have to scream at random people's funerals.
And in their eyes, they are the heros.
TLDR: evangelicals want to start the apocalypse so they don't have to die to get into heaven, so they have been trying to manipulate politics and power for decades to do it.
That is all generally correct.
I would add to this that the Covid pandemic was ironically dangerous to their theology. The world is supposed to end, but not that way!
But really it can't be understated how catastrophic the War on Terror was to their identity. They were faithful and God didn't show up. That's damn psychologically traumatic.