With much espect, I think ou are missing the point of Galatians 2:16.. The Holy Spirit is contrasting 'works of law' with 'faith of Christ.' Now does the law work? Of course not! It is referring to our work in respect of the law, an 'objective genitive.' Therefore the contrast only works if 'faith of Christ' is also an objective genitive: our faith in respect of Christ, or, as almost all other translations have it, 'faith in Christ.'
N.B. I have left out the definite article 'the' in my post because the original Greek does not have it.
"From the law, the Apostle turns to the Gospel. We are justified by the faith of Jesus Christ. Here Paul considers Christ as the sole justifying cause before God, of his Church and people. And on this truly scriptural ground. Christ as their Head, and Surety, and Representative, obeyed the whole precepts of the law, and suffered the whole penalty of the breaches of it by his death. Hence, as the Apostle sums it up in the next chapter, Christ hath redeemed us from the curse of the law being made a curse for us. Galatians 3:13. Here, therefore, there is as full a confirmation of redemption by Christ, as under the foregoing observation, there was a confirmation of being condemned by the law. And Christ's obedience and death, being set forth by God himself for a propitiation, nothing can be more plain and satisfactory, than that we have redemption through his blood, the forgiveness of all our sins, according to the riches of his grace. Ephesians 1:7.
And the way in which this obedience and blood-shedding of Christ becomes the cause of the justification of his people before God is, by virtue of their union with him, and their interest in him. Christ and his people, in the eye of God's righteous law, are one. Hence, what Christ did, is as if they had done it. What Christ, suffered, is as if they had suffered. For, as in all, Christ acted as; their Surety, and being accepted of God, yea, appointed by God in this high character, when he had performed all his Suretyship-offices, and God declared himself well pleased with him, both law and justice must discharge the original debtor, having come upon the Surety, and the debt having been fully paid. Both cannot pay, for, in that case, it would be doubly paid, which would be unjust. And, therefore, the Apostle's conclusion is correct. Now, therefore, there can be no condemnation to them that are in Christ Jesus, who walk not after the flesh, but after the Spirit. Romans 8:1.
And, lastly, to add no more. The soul's enjoyment of this blessed state of justification before God, solely in the Person, and by the redemption of Christ, becomes the right of every regenerated child of God, in all its bearings, and in all its branches, by faith. So Paul declares: We are justified (saith he) by the faith of Christ. Hence, though the whole work and glory is Christ's, yet the Church enjoys it by faith. We realize the blessed properties of the whole, by our faith in Him, and our dependence upon Him. So, that in the proportion that the Lord gives his people grace to act faith upon Christ, and his complete righteousness, which justifies freely, fully, satisfactorily; such more or less, will be our joy and peace in believing, abounding in hope through the power of the Holy Ghost. Romans 15:13.
- excerpt from Robert Hawker's commentary on Galatians 2:16-19
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but by the faith of Jesus Christ; not by that faith, which Christ, as man, had in God, who promised him help, succour, and assistance, and for which he, as man, trusted in him, and exercised faith upon him; but that faith of which he is the object, author, and finisher; and not by that as a cause, for faith has no causal influence on the justification of a sinner; it is not the efficient cause, for it is God that justifies; nor the moving cause, or which induces God to justify any, for that is his own free grace and good will; nor the meritorious or procuring cause, for that is the obedience and bloodshed of Christ; nor is faith the matter of justification; it is not a justifying righteousness; it is a part of sanctification; it is imperfect; as an act it is a man's own, and will not continue for ever in its present form, nature, and use; and is always distinguished from the righteousness of God, by which we are justified, which is perfect, is another's, and will last for ever. Men are not justified by faith, either as an habit, or an act; not by it as an habit or principle, this would be to confound justification and sanctification; nor as an act, for as such it is a man's own, and then justification would be by a man's works, contrary to the Scripture: but faith is to be taken either objectively, as it relates to Christ, the object of it, and his justifying righteousness; or as it is a means of receiving and apprehending Christ's righteousness; the discovery of it is made to faith; that grace discerns the excellency and suitableness of it, approves of it, rejects a man's own, lays hold on this, and rejoices in it."
- excerpt from John Gill's Bible commentary on Galatians 2:16