Disagree.
Faith is Gift from God, a power from God that enables one to Believe.
Works is a Labor of man.
One is Gods Acts.
One is mans acts.
Not the same thing...Not the same entity.
In all honesty, what you are missing by your doctrine of faith only separate from obeying the faith, is you separate obeying God
in the heart, from obeying God from the heart in the flesh.
Faith of God and obedience of God are one and the same thing in the heart: so soon as we believe Him and His commandment to purify our hearts of lust of the world, we do so by casting down all such vain imaginations and thoughts for sin from our minds: once we are born again, and the devil is cast out from our souls, he immediately attacks our hearts and minds with lust.
Obedience from the heart is only by them that obey Him in the heart, who cleanse their hands from all filthiness of the flesh, calling upon Him with a pure heart:
Flee also youthful lusts: but follow righteousness, faith, charity, peace, with them that call on the Lord out of a pure heart.
Seeing ye have purified your souls in obeying the truth through the Spirit unto unfeigned love of the brethren, see that ye love one another with a pure heart fervently.
There is no faith of God at any time separate from works of God by us, because there is no pure heart for God separate from obeying Him in the heart.
Faith only does not purify the heart, but only obeying the faith according to His commandment to do so:
Draw nigh to God, and he will draw nigh to you. Cleanse your hands, ye sinners; and purify your hearts, ye double minded.
Faith and works work together to perfect the saint in fear and holiness of the Lord, purifying the heart, and cleansing the hands, and they are never separate and apart from one another in sight of God.
So, you see there is no separation at all from faith of God and works of God, that we do in obedience to God, neither in time, nature, nor 'entity'.
God's justification by works is His proving ground that His faith is in our hearts, and not just between our ears.
Only the doers are justified with God, because only the doers have faith in the heart for Him to see.
Faith unseen outwardly by God is from faith unseen inwardly by God: no evidence, no substance.
If we don't have a pure heart, but still have lust in the heart, it is because we have no faith to obey God and purify our hearts.