Good to hear you are well. Are you running the same route?
Reading your response I think that it would be impossible to engage our differences in a practical manner. The reason is we agree that all have sinned and fall short of the glory of God. Where we disagree is in terms of imputed sin, but the end result is the same (except perhaps in regards to the death of a child).
Here is an illustration (flaws and all) about how I view the headship of Adam: Suppose I find an excellent tomato. I like it so much that I save a few of its seeds and plant them the next year. Now I have a bunch of tomato's that have exactly the same characteristic as the first.
We know that Adam's nature did not change in order for him to sin ("the fall" is a result of his sin or at least it is his sin, but his nature did not change into a "sin nature" in order for him to sin). He is our representative (our natural representative). Paul teaches us that death spread to all man not because of Adam's sin (although this is when death entered the world) but because all men sin. This sinfulness (as
@JonShaff pointed out) is not past tense but a sense of continuance and establishes the principle of the flesh. More importantly, however, is the fact that Scripture itself only deals two natures - "flesh" and "spirit".