Matter/energy are NOT inexplicable fundamentals. We have studied them, and can explain them in terms of photons, quarks, quantum wave functions, etc. These things may yet be ineffable, but Science only has inexplicables AFTER it has tried as hard as it can to explain. They did not START with the axioms "matter, and energy are inexplicable", even though they once were, and your example of dualists doing that is the exact core of the flawed reasoning of dualism. We cannot explain something, therefore we call it inexplicable, rather than trying to actually explain it.
Quarks are made of matter/energy, not vice versa.
Note that it is not logically impossible to reductively explain everything in terms of nothing.
Science only has inexplicables AFTER it has tried as hard as it can to explain.
How do you know it has reached the point of "having tried as hard as it can"? Science certainly has tried to explain mind. Physicalists judge that more trying is needed; dualists judge that the "as hard as it can" point has been reached. Since no one can say in a definite, quantitive way where the point is, it remains a legitmiately a matter of personal judgment.
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.