You also did not explain verses like Romans 4:3, and Romans 4:9-12.
I was waiting for you to respond to my point about inward obedience within the heart being necessary before outward obedience with the body.
You sort of did, so I will be glad to show you how believing and obeying in the heart are always together in the Scriptures you speak of: wherever we read of God acknowledging faith and righteousness, it is by obeying the faith within the heart first.
For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness.
What God calls believing is two things: it is within the heart, and it is accompanied with fighting against unbelieving thoughts from the devil within the heart.
Obedience to the faith within the heart is rejecting any and all thoughts of unbelief and disobedience sent from the devil.
Before Abraham chased away the fowls of the air from his sacrifice on the ground, he did so within the heart first, which is what God saw within His heart, and so He counted it as righteousness to Abraham.
There is no righteousness in believing only, which is agreeing only. Just believing God is right is nothing to God, but only obeying to do right in His name is justified with God, and that obedience begins with maintaining right thoughts while rejecting all others.
Works of faith begin by obeying the faith within the heart, that we may also obey the faith bodily in deed and in truth with a pure heart.
Cometh this blessedness then upon the circumcision only, or upon the uncircumcision also? for we say that faith was reckoned to Abraham for righteousness. How was it then reckoned? when he was in circumcision, or in uncircumcision? Not in circumcision, but in uncircumcision.
And he received the sign of circumcision, a seal of the righteousness of the faith which he had yet being uncircumcised:
And that circumcision was commanded to be of the heart in Scripture, to obey God within the heart to be purified of lust of the world, and so circumcising the foreskin of the heart.
Abraham was circumcising his heart from unbelief and thoughts of disobedience, before being circumcised outwardly, which was only a seal and sign of that circumcision of his heart.
So it is today for all his children who likewise circumcise our hearts as he, which is the circumcision of Christ we do by His Spirit, which is called being sealed by the Spirit.
Paul is showing in Scripture how faith and circumcision are to be spiritual in the heart first, which is obeying God to purify our hearts of lust of the world.
That he might be the father of all them that believe, though they be not circumcised; that righteousness might be imputed unto them also:
When we believe and obey within the heart as Abraham did, then we also receive the righteousness of God within the heart as He did.
And the father of circumcision to them who are not of the circumcision only, but who also walk in the steps of that faith of our father Abraham, which he had being yet uncircumcised.
Abraham walked in the steps of faith, which was obedience to the faith, because he first obeyed the faith within his heart to cast down every vain imagination, and bring all his thoughts unto the obedience of Christ who appeared unto him.
First we circumcise our hearts by cutting off all lust for sin of the devil, and then we circumcise our lives outwardly with a pure heart of circumcision.
Sanctification of the Spirit is circumcision of the heart first, followed by sanctifying circumcision of the life.
Cleanse first that which is within the cup and platter, that the outside of them may be clean also.
Seeking to sanctify outwardly, before sanctifying inwardly is filthy rags to God, even as seeking to obey the second great commandment without first obeying the first great commandment.
For the promise, that he should be the heir of the world, was not to Abraham, or to his seed, through the law, but through the righteousness of faith.
It is through the Spirit by the power of God to becomes sons of God: to become the righteousness of God by faith within the heart first, that we may be so outwardly as well.
The righteousness of faith is first making and keeping a pure heart of faith, being made free from the spirit of sin and death, by the Spirit of life, that we may also walk after the Spirit and not after the flesh.
We walk with Christ first in the heart by obeying Him to purify the heart by the righteousness of faith in Him.