Please do not deny the obvious: “The Law is contrasted with faith as a means of salvation.”
“15 We ourselves are Jews by birth and not Gentile sinners; 16 yet we know that a person is not justified by works of the law but through faith in Jesus Christ, so we also have believed in Christ Jesus, in order to be justified by faith in Christ and not by works of the law, because by works of the law no one will be justified.” - Gal 2
Yes, my statement is correct. The Law and faith are contrasted.
Actually, the Reformers emphasized the dichotomy between Law and Gospel. You keep missing the import of that "through" phrase. If one wants to actually understand Paul's theology they won't just cherry pick a singular proof text to fit their construct instead they will be more diligent and search his other writings like a good Protestant would and allow Scripture to interpret Scripture. If one does that they find that Paul describes this dichotomy more thoroughly in Romans which makes clear the Law/Gospel dichotomy.
But now apart from the Law the righteousness of God has been manifested, being witnessed by the Law and the Prophets; even the righteousness of God through faith in Jesus Christ for those who believe; for their is no distinctionsSo this verse clearly distinguishes between Law and Gospel because "the righteousness of God has been manifested" is obviously Christ and the fact that he perfectly obeyed the Law and predicted by the Prophets. Then again we see that "through" term but before that the "righteousness of God". So Paul clearly states that it is not the Law that saves but the righteousness of Christ that saves and since that is an alien righteousness we need some device by which we can receive that righteousness but obviously that device cannot be the thing that saves but only the means by which to get to what actually saves, Christ!