Could atheist westerners, please explain?

[RobbyPants]

Now, I have a deep question to atheists.
How does the west sleep at night, knowing that such lie is in practice?

Figure, at least in the US, people have probably roughly one of four opinions on the matter:

1. They don't know anything about it and don't care.
   
2. They find the situation over there deplorable and do not see Israel as innocent.
   
3. They support Israel because they oppose Arabs (who are brown and scary, and also Muslim!).
   
4. They support Israel because this is bringing about the End Times ™, and they literally are trying to speed up the end of the world.
   

I'm in the second group. I'm well aware of "the lie", although I also don't lie the blame solely on Israel.

That fourth group scares the shit out of me. Appending "for Jesus" onto the end of "some people want to watch the world burn" doesn't make the situation any better.