Romans, Ephesians, and Galatians all address works of the law as impotent for salvation. Romans in particular was written specifically against the Judaizers, who taught that Christ apart from the Law was insufficient. Your interpretation does not harmonize Scripture because you twist what has been stated. Works are not simply a byproduct of faith but a necessity.
Christ Himself stated “if thou wilt enter into life, keep the commandments” and in Matthew 25 He separated the sheep from the goats based on their works.
Likewise, John attests “I saw the dead, great and small, standing in the presence of the throne. And the books were opened: and another book was opened, which was the book of life. And the dead were judged by those things which were written in the books, according to their works.” Revelation 20:12
Your interpretation of Romans and Ephesianas is likewise contradicted explicitly by James.
Was not Abraham our father justified by works, offering up Isaac his son upon the altar? Seest thou that faith did cooperate with his works and by works faith was made perfect? James 2:21-22