...add something with such high Kolmogorov complexity as non-physical minds to their ontology...
Translation:
Words like "supernatural" demand further explanation. That is because words like "supernatural" are vague and using them in your arguments causes your arguments to become opaque. And the validity of opaque arguments is hard to judge. You have to make your arguments more transparent by defining your terms.
Reducing the vagueness of words like "supernatural", by being more specific, or by naming concrete examples, causes your argument to become more complex (technically the complexity is already comprised in the vagueness of your terms, but ignore that for now). Your argument will be made up of a lot of additional sentences that can be false. The conclusion of an argument that is made up of a lot of statements that can be false is more unlikely to be true. That is because complex arguments can fail in a lot of different ways. You need to support each part of the argument that can be true or false and you can therefore fail to support one or more of its parts, which in turn will render the overall conclusion false.
Consider the above and what it means to accept that the supernatural does exist. If you claim that there is a category of things labeled "supernatural" you will have to define what you mean and consequently support each step of your definition. Can you be more specific, can you name some concrete examples of things that fit into the category you label "supernatural"? And more importantly, are you able to provide argumentative or evidence based support for your category?
An example of argumentative support in favor of the category of things that you call "supernatural" would be able to explain why things that you believe to belong to that category do not fit into any other category, e.g. the category that is labeled "natural". Consider an arbitrary "natural" element, can you explain what it would take for that element to become "supernatural"?
An example of evidence based support would be able to tell how you anticipate the world to change if the category you label "supernatural" would suddenly cease to exist. Can you explain what caused you to accept the existence of "supernatural" things, what necessitated it?
If everything would be the same without a category labeled "supernatural", why don't you abandon it?
Background
I was raised in the Churches of Christ and my family is all very serious about Christianity. About 3 years ago, I started to ask some hard questions, and the answers from other Christians were very unsatisfying. I used to believe that the Bible was, you know, inspired by a loving God, but its endorsement of genocide, the abuse of slaves, and the mistreatment of women and children really started to bother me.
I set out to study these issues as much as I could. I stayed up past midnight for weeks reading what Christians have to say, and this process triggered a real crisis of faith. What started out as a search for answers on Biblical genocide led me to places like commonsenseatheism.com. I learned that the Bible has serious credibility problems on lots of issues that no one ever told me about. Wow.
My Question
Now I'm pretty sure that the God of the Bible is man-made and Jesus of Nazareth was probably a failed prophet, but I don't have good reasons to reject the supernatural all together. I'm working through the sequences, but this process is slow. I will probably struggle with this question for months, maybe longer.
Excluding the Supernatural was interesting, but it left me wanting a more thorough explanation. Where do you think I should go from here? Should I just continue reading the sequences, and re-read them until the ideas gel? I'm coming from 30 years of Sunday School level thinking. It's not like I grew up with words like "epistemology" and "epiphenomenalism". If there is no supernatural, and I can be confident about that, I will need to re-evaluate a lot of things. My worldview is up for grabs.