(Remember that the Second Letter of Clement is viewed as inauthentic. The first is authentic.) I think it's difficult to interpret Paul differently than that justification is acquired through faith only, such as in Romans 4:3. History Valley has a recent video about the radical distinction between the schools of Paul and James:
Note that I never mentioned the pseudigraphical 2 Clement. I am only interested in 1 Clement, and frankly while it is an important Patristic writing, it is much less important than the epistles of St. Ignatius the Martyr to the various churches following his arrest in Antioch, while he was en route to Rome, where he was fed to lions in the Arena. Rather I would group 1 Clement with the epistle of St. Polycarp as important Patristic writings that provide moral guidance, but which are not breakthrough works of theology on a par with the Ignatian corpus, or the Apology of St. Justin Martyr, or the seminal theological writings of St. Irenaeus of Lyons against heresies.
Now regarding Romans 4:3, there is nothing in it which contradicts what St. James wrote. But we should remember that Martin Luther did interpolate on his own authority the word “alone” into Romans 3:28, which is one of those actions of Martin Luther which prevent me from venerating him as a saint (the others being his attempt to delete the “antilegomenna”, and his anti-semitic tract. But where Luther argued a disparity between St. Paul and St. James, I see harmony.
A true living faith, as understood by subsequent Lutheran theologians who refined Luther’s early work to account for anomalies such as this, as well as the Early Church Fathers and the Orthodox, Anglican, and Catholic theologians, is a faith that produces good works. Indeed even a full-on TULIP-believing Calvinist will interpret good works as a sign of election, and evil works as the identifying characteristic of a reprobate.
Thus, since the different branches of Protestantism have successfully reconciled the Epistle of James with the Pauline corpus, I regard any attempt to set aside the Epistle of James as amounting to eisegesis. The 27 book canon of the New Testament was handed down to us from St. Athanasius, the same man who defended Christianity against the Arian heresy at Nicaea in 325 as protodeacon to St. Alexander of Alexandria, and who after becoming patriarch of Alexandria, spent much of his career exiled as far away as the dangerous frontier town of Trier, in modern day Germany, which in the fourth century Roman Empire was the Wild West, a place where Greek, the native language of St. Athanasius, was not widely spoken or understood. After returning from this torturous exile without conceding any ground on the doctrine of the faith, and being welcomed back by large crowds into Alexandria, St. Athanasius then proceeded to issue his famous 39th Paschal Encyclical, in which he included the Epistle of James and several other works, some of which were at the time highly controversial, such as Revelation and the Epistle to the Hebrews (since no one knows for sure who wrote that work, although many church fathers believed it was of Pauline provenance, however, it is better written - given that the Church tradition records that the Gospel of Luke and Acts were based on a narration given by St. Paul, and given the exquisite eloquent Greek written by St. Luke the Evangelist, which is matched only by that of Hebrews, I suspect St. Luke wrote it, most likely inspired by a homily St. Paul delivered in Aramaic. But there is of course no definite proof one way or the other.
One thing is for certain, and that is that the epistles of St. James and St. Paul can be reconciled, and most churches have done that, and the result is much better theology than if one merely discards the epistle of St. James.