But the Greek doesn't say that!

Two interpretative misjudgments lead to this erroneous reading: (1) that δικαιοῦσθαι means “to be made righteous” (a causative meaning impossible to justify from Greek usage, Jewish or non-Jewish, pace Martyn, Galatians, p. 265); and (2) that “to be righteous” means in itself to be saved. In combination, on this reading, Paul is denying that a person can get oneself saved by keeping the Law.—J. M. G. Barclay, Paul and the Gift, 377 n. 71