I don't know what comes first ...being detached from reality, or being unmoved by it.

I guess, it could be said they go hand-in-hand.  It doesn't matter so much which comes first, whether one leads to another, or if the process is reversed.

There are certain things that may benefit, in the short term, by being detached.  A person in shock often goes through this ...and it helps the person survive.  Though they will likely soon need treatment.

And there are situations that benefit from being unmoved.  If someone is trying to provoke violence, I believe it is best to try to not be moved to that point, even when what they are saying makes you angry.  If something must be done, it should not be decided upon out of anger.  Anger clouds good judgment.

But, as usual, it may be that I'm speaking of something else. Think of the atheist, the agnostic, and the philosopher.  One may be detached, another unmoving, and still another moving in a direction that only leads to more detachment and confusion.

I think I'd prefer to talk with the philosopher ...as he may be still attempting to at least reason it out.  He may reason it out that he is an atheist, or an agnostic ...but, he may  still be talking to you.

Usually, I feel, when someone says they are an atheist, or an agnostic ...they are on most occasions saying they don't want to talk about it.  It's like a conversation stopper.  I've known people to begin political conversations ...only to say they hate talking about politics when I give my point of view.  I take that as not hating to talk about politics, but rather hating for me to talk about politics.

I find the same is true for those people who make the first comment, then say they don't like to talk about God.