Evil Disproves Atheism

I've been contemplating some of the conclusions being a determinist and empiricist would have to condone.

Empiricism: only things that can be experienced with our 5 senses can be known.

Determinism: we have no free will; all of our actions are decided upon by our neuron's reactions to our environment and are influenced by our biology.

If, indeed, nature works this way, each death at the hands of an ISIS militant is a naturally caused death. There exists no moral difference between a 60 year old dying in their bed from cancer than a 12 year old being burned alive in a cage by a radical jihadist, especially since "morality" is a set of neurological responses to environment that are culturally accepted (so says the atheist).

Religious beliefs are the reaction of neurons caused by my environment and I have no free will to decide otherwise. So, whatever "religious" motive might be used to commit atrocities are, in fact, natural, and saying "religion is the cause of evil" is a contradiction on several counts:

1) "Religion" is a natural, neurological response to a natural environment in the same way a "better world" would be a neurological response expressed by someone's political beliefs (i.e., jihadism vs nationalism),

2) if evil isn't empirical, then it doesn't exist,

3) "justice" is nothing other than the local cultural norm

4) the idea of a "better world" that doesn't yet exist nor ever has is only an idea that may or may not be possible according to the psychological/physical laws that govern our behavior. If we let the laws of nature work themselves out, we get the world we live in today. If the evil in the world is perfectly natural, what's wrong with it?

Isn't a "better world" the empiricist's equivalent of heaven, most especially since it involves faith that it can be achieved and the hope which moves one to act toward achieving it?

Another question: How can you determine the intention of an object that can't decide to move itself?
(The atheist then finds the problem in explaining their awareness of human design in the universe but admitting no Intelligent Design).

When sensing that an act of another human being is unjust or evil or that deaths by natural disasters are unjust or evil, the atheist has 2 stances to choose from:

1) the injustice/evil perceived is a subjective perception of reality that distorts the truth that everything that happens has a rational and natural cause, obeying the laws of the natural world and, thus, is perfectly ok, or

2) I'm wrong about my atheism.