This shows me that you either didn't look at them or that you didn't comprehend what you read:
2 Peter 1:1 (NASB): "To those who have received a faith of the same kind as ours, by the righteousness of our God and Savior, Jesus Christ" (one entity).
2 Peter 1:1 (KJ21): "Simon Peter, a servant and an apostle of Jesus Christ, To those who have obtained like precious faith with us through the righteousness of God and our Savior Jesus Christ" (two entities).
Titus 2:13 (NASB): "looking for the blessed hope and the appearing of the glory of our great God and Savior, Christ Jesus" (one entity)
Titus 2:13 (KJ21): "looking for that blessed hope and the glorious appearing of the great God and our Savior Jesus Christ" (two entities)
Thus, your statement:
is shown to be incorrect.
No it is not, because there is only one ἡμῶν, the possessive plural pronoun in both verses. The compound nouns Θεοῦ καὶ Σωτῆρος ἡμῶν, God and Savior, cannot be legitimately separated! It is grammatically impossible in either case, and there is a singular ἡμῶν not a independent ἡμῶν for each of the two nouns.