The question revolves around what actually determines and drives a conscious act of will to contemplate one's own existence.
No, that's begging the question 'is conscious act of will actually a thing'...
I fully agree that there is something which determines such an act of will, and it certainly is not random.
In which case, logically, it's dependent upon something - that something is, itself, a conclusion to prior events, and so on and so on.
Does it derive as an inevitable result of endless chains of PHYSICALLY DEFINED cause and effect?
You are merging two separate strings of argument here, both of which are valid, but when you merge them you lose some of the important distinctions. One of those threads is whether everything in thought and consciousness is the result of physical activity, the other is whether the activity of thought and consciousness are somehow 'free will'.
Or is there a non physical cause which is not bound by the laws of physics, generated from within the present state of our conscious awareness?
If there is, a case needs to be made for that conclusion - incredulity on your part about whether a purely physical explanation is sufficient isn't actually any sort of evidence in favour of this idea. At best that just results in a 'it's impossible to say' conclusion.
You can't just proclaim that the laws of physics are irrelevant. Physical reactions are part of the time dependent material behaviour of our universe, and we can exert no control over the laws which define them.
I'm not sure where you're going with this - to my mind, when we have a valid explanation that comports with our current understanding of physics, it's you citing unevidenced 'spiritual' components to consciousness that's ignoring the science.
The divinely inspired words from the Christian bible allude to our soul being not of this universe and existing in a timeless (eternal) state.
So much unevidenced assertion in there. The (possibly) divinely inspired words from the (selectively edited) Christian Bible (of questionable initial veracity, even before the editing and poetic translations) allude (but not clearly state) to our soul (for which there's no evidence) being not of this universe (but without information of where it might be from) and existing in a timeless (we cannot parse a timeless existence; our entire conception of everything is evolved to exist in a mindscape where time is an inevitable reality) state.
Such a timeless, ever present state would explain how our soul can invoke a choice at will from this present state which is not just an inevitable reaction to past events.
No, it wouldn't. At best it would raise a possibility, but you'd need to establish some sort of allegory for physics that operates in that reality - how can a timeless state meaningfully interact with a time-dependent one, how can an entity 'do' anything where time isn't? 'Doing', activity of any sort, implies change, and without time you can't have change, because change is variation of state over a period of time. A timeless state, on examination, is as ultimately incomprehensible to a human mind as concepts of god or spirit, we just don't have an intellectual framework in which to build such a notion.
O.