Absolutely, peace emanates from God to the Christian and we know every race, or mix of races, is called by God to know Jesus and have eternal life
26 For you are all sons of God through faith in Christ Jesus.
27 For all of you who were baptized into Christ have clothed yourselves with Christ.
28 There is neither Jew nor Greek, there is neither slave nor free man, there is neither male nor female; for you are all one in Christ Jesus.
29 And if you belong to Christ, then you are Abraham's offspring, heirs according to promise.
(Gal. 3:26-4:1 NAS)
Obviously a mulatto would still be a mulatto just like a woman is still a woman, but it is of no consequence when it comes to finding salvation
If you have a worry at all, including identity crisis, the Christian knows peace because Jesus takes it upon himself
22 "And the one on whom seed was sown among the thorns, this is the man who hears the word, and the worry of the world, and the deceitfulness of riches choke the word, and it becomes unfruitful. (Matt. 13:22 NAS)