My approach is far more fundamental than your description and assumptions of my beliefs above. I do not seek explanations. I accept the world around me as it evidently is. I do not postulate souls or gods. I look at what is.
That does not leave me with a barren life. I marvel at what I see, take delight in the good things and am sad at the bad.
My "world view" is that our role on earth (just one of many millions of blobs of matter circulating in space) is to be as kind to each other as we can; to leave the world a better place in our own small ways when we go.
For these reasons, I reject the man made religions that seek explanations that we cannot ever know and, in the process, control and subdue minds and bodies, cause wars and foster guilt.
I do not know what the answer is to the presence of evil in the world - but neither does anyone else. Many people seek to find explanations, but (as one might predict) none are the same (hence the presence of many religions) and therefore none are definitive.
There is no answer to the presence of evil - it simply is. But, in a world that is predicated on kill or be killed and survival of the fittest, it does not come as a surprise. Cancerous cells or viruses or bacteria are simply pursuing their raison d'etre - to survive regardless of who/what dies in the process.
We do not have the capacity to understand everything - why the world exists, what the heck it is for - and lives in their trillions have been wasted in that pursuit.
Just take the world as it is, accept its flaws and live as kind a life as you are able. There simply are no explanations for any of it that we can find without postulating/making up unknowables, like a soul.