BF, this is hopeless. Paul is not speaking of reconciliation in Rom. 4:6-8, he's speaking of the Law imputing sin in unrighteousness.
Reconciliation involves both parties to come to an agreement. God's problem with man was his sin, and man could do nothing about it.
So Christ took all of man's sin upon Himself, making reconciliation between God and man, making it possible for man to be saved.
You can't understand this because you don't understand the free will of man.
Christ making reconciliation for us involves a choice to take advantage of the reconciliation, in order to be saved.
I don't know how you learned the Scripture but you have misunderstood so much of it. You will not listen, therefore I can't help you!
I will stand before the Lord and give account of my responsibility in this conversation. I may forget it one day, but the Lord will not forget it, it is being recorded in Heaven. To the best of the ability the Lord has given me, I must make another effort to explain.
If I do a wrong to you and our relationship is severed, in order to be reconciled we both must choose to make it right.
We have sinned against a Holy God, and there is nothing we can do to make it right. God took the first step in reconciliation with man by giving His Son to bear all of our sins for us, so we can come back into relationship with Him.
God has made the choice to reconcile with us through His Son, but WE must make a choice to reconcile ourselves to God by repenting of the wrong we have done to Him, and believing in His Son. It's based on the free will of both parties to make things right.
I can't explain it any better than this, I am limited in what God has given me, and this is the best I have to offer in explanation.