Do you belief that a person changing their mind about sin or repenting, doesn;t imply we are turning our mind back towards God and obedience to His will, or are you asserting we are forgiven simply because we waffle to and fro regarding our particular actions or thoughts?
I suspect that when we turn back to Him, in our thinking, we have implicitly placed Him as the object of our thinking, ie. a nonmeritorious thought of ourselves, then in confession of our sin, stating it with our volition focusing on Him instead of anything else, He then is sure and just to foregive us that sin.
I am not sure what you are tyring to say there Cvengr. I can say only that repentance does not require faith; that much is obvious.