First, many of us are happy to leave things we do not have an answer for or completely understand in our mental stack of things "we cannot understand." 

 Also, the concept that there IS a god and this god sits back and does nothing in the face of global disasters, famine, war, senseless violence, etc. to me would seem to give me more emotional dissonance than just realizing that there's no action because there isn't anything up there controlling the world.

We can also reasonably study what it is we generally refer to as evil.  If the mental state of not killing people is what we've generally known as normal, then we might be able to locate neurological traits in people that would cause this behavior.   (or social manufacturing of such behavior in the way that, say, a religion might)

Also, if this is also about the "where do we go when we die" question, or if this concept of heaven or people looking down us from heaven.  These ideas could cause us to feel better, but it doesn't exactly mean they possess any truth.   Just as Sam Harris muses he may feel better if he believes he has a giant diamond buried behind his house, it doesn't mean he'd actually find it.

 Personally, I find that once the concept of heaven is stripped away, and you learn that you're fortunate to even exist.. I find I'm more motivated to give my life meaning and enjoy what time I have.

I'm not an ex-theist (I've always been atheist) but there is no "cope". What I mean is that I've never had a fear for it, nor have I ever felt a need to cope with it. I just accept the fact that I don't know EXACTLY what it's like when I die and move on.

Killing and 'evil' are just natural occurences that all depend on which side of the table you are on. To a cow, we are killing his fellow cows for food. And to us we are killing some cows for food.

Murder? That's a little different, but I think you'll see that most murder deals with a risk/reward factor. 

Bad things happen... because they do.  That's just what happens.  That's just life.  I've never believed in a god so it just seems so simply obvious to me, I suppose.  Of course we can't have control over everything.  Frankly, I wouldn't want to.

For me losing god was empowering. I no longer expected myself to sit back and 'take it'. I was no longer fighting god if I refused to let bad things happen around me. I was suddenly free to act to improve my evirons and the lives of those around me. The concern about fitting into a plan and the idea that any suffering was part of that fell by the wayside. I can honestly say I feel more security and comfort from the ability to act in my own defense and in the defense of others than I ever felt 'in gods care'.

tell yourself this:

 I don't know and it's ok that I don't know. 

and if you ARE interested in knowing, research...read...there ARE actually a lot of answers out there that don't rely on holy books, superstition, myth, etc....  Granted it takes a lot more effort to learn the facts than to simply adopt a superstition...but i believe it's much more rewarding.