Galatians 3:27-28 is an allusion to Genesis 27:1-29. Isaac's eldest son Esau (representing the Jewish people) was entitled to the birthright (the inheritance) but Jakob (representing the believing gentiles) was not. His mother (probably for godly reasons) secured the inheritance for her youngest, Jakob by dressing him up as Esau!:
Gen 27:1 And it came to pass after Isaac was old, that his eyes were
dimmed so that he could not see; and he called Esau, his elder son,
and said to him, My son; and he said, Behold, I am here. Gen 27:2
And he said, Behold, I am grown old, and know not the day of my
death. Gen 27:3 Now then take the weapons, both thy quiver and thy
bow, and go into the plain, and get me venison, Gen 27:4 and make me
meats, as I like them, and bring them to me that I may eat, that my
soul may bless thee, before I die. Gen 27:5 And Rebecca heard Isaac
speaking to Esau his son; and Esau went to the plain to procure
venison for his father. Gen 27:6 And Rebecca said to Jacob her
younger son, Behold, I heard thy father speaking to Esau thy brother,
saying, Gen 27:7 Bring me venison, and prepare me meats, that I may
eat and bless thee before the Lord before I die. Gen 27:8 Now then,
my son, hearken to me, as I command thee. Gen 27:9 And go to the
cattle and take for me thence two kids, tender and good, and I will
make them meats for thy father, as he likes. Gen 27:10 And thou
shalt bring them in to thy father, and he shall eat, that thy father
may bless thee before he dies. Gen 27:11 And Jacob said to his
mother Rebecca, Esau my brother is a hairy man, and I a smooth man.
Gen 27:12 Peradventure my father may feel me, and I shall be before
him as one ill-intentioned, and I shall bring upon me a curse, and not
a blessing. Gen 27:13 And his mother said to him, On me be thy
curse, son; only hearken to my voice, and go and bring them me. Gen
27:14 So he went and took and brought them to his mother; and his
mother made meats, as his father liked them. Gen 27:15 And Rebecca
having taken the fine raiment of her elder son Esau which was with her
in the house, put it on [same word as in Galatians 3:27-28!] Jacob her
younger son. Gen 27:16 And she put on [same word as in Galatians
3:27-28!] his arms the skins of the kids, and on the bare parts of his
neck. Gen 27:17 And she gave the meats, and the loaves which she had
prepared, into the hands of Jacob her son. Gen 27:18 And he brought
them to his father, and said, Father; and he said, Behold I am here;
who art thou, son? Gen 27:19 And Jacob said to his father, I, Esau
thy first-born, have done as thou toldest me; rise, sit, and eat of my
venison, that thy soul may bless me. Gen 27:20 And Isaac said to his
son, What is this which thou hast quickly found? And he said, That
which the Lord thy God presented before me. Gen 27:21 And Isaac said
to Jacob, Draw night to me, and I will feel thee, son, if thou art my
son Esau or not. Gen 27:22 And Jacob drew night to his father Isaac,
and he felt him, and said, The voice is Jacob's voice, but the hands
are the hands of Esau. Gen 27:23 And he knew him not, for his hands
were as the hands of his brother Esau, hairy; and he blessed him, Gen
27:24 and he said, Art thou my son Esau? and he said, I am. Gen
27:25 And he said, Bring hither, and I will eat of thy venison, son,
that my soul may bless thee; and he brought it near to him, and he
ate, and he brought him wine, and he drank. Gen 27:26 And Isaac his
father said to him, Draw nigh to me, and kiss me, son. Gen 27:27 And
he drew nigh and kissed him, and smelled the smell of his garments,
and blessed him, and said, Behold, the smell of my son is as the smell
of an abundant field, which the Lord has blessed. Gen 27:28 And may
God give thee of the dew of heaven, and of the fatness of the earth,
and abundance of corn and wine. Gen 27:29 And let nations serve
thee, and princes bow down to thee, and be thou lord of thy brother,
and the sons of thy father shall do thee reverence; accursed is he
that curses thee, and blessed is he that blesses thee.
Paul's theology mostly derives from the law, the writings and the prophets but most importantly from 7 mysteries that Jesus personally directly revealed to him. These are extremely foundational teachings. One of them is found here:
ASV 1Ti 3:16 And without controversy great is the mystery of
godliness; He who was manifested in the flesh, Justified in the
spirit, Seen of angels, Preached among the nations, Believed on in the
world, Received up in glory.
This teaches, I believe that Paul is saying that godliness in the Church Age is not religious activity but Christ. Christ is the very life of the believer:
Gal_2:20 I am crucified with Christ: nevertheless I live; yet not I,
but Christ liveth in me: and the life which I now live in the flesh I
live by the faith of the Son of God, who loved me, and gave himself
for me.
Col 3:1 If then ye were raised together with Christ, seek the things
that are above, where Christ is, seated on the right hand of God. Col
3:2 Set your mind on the things that are above, not on the things
that are upon the earth. Col 3:3 For ye died, and your life is hid
with Christ in God. Col 3:4 When Christ, who is our life, shall be
manifested, then shall ye also with him be manifested in glory. Col
3:5 Put to death therefore your members which are upon the earth:
fornication, uncleanness, passion, evil desire, and covetousness,
which is idolatry; Col 3:6 for which things' sake cometh the wrath
of God upon the sons of disobedience: Col 3:7 wherein ye also once
walked, when ye lived in these things; Col 3:8 but now do ye also
put them all away: anger, wrath, malice, railing, shameful speaking
out of your mouth: Col 3:9 lie not one to another; seeing that ye
have put off the old man with his doings, Col 3:10 and have put on
the new man, that is being renewed unto knowledge after the image of
him that created him: Col 3:11 where there cannot be Greek and Jew,
circumcision and uncircumcision, barbarian, Scythian, bondman,
freeman; but Christ is all, and in all.
1Co 1:30 But of him are ye in Christ Jesus, who was made unto us
wisdom from God, and righteousness and sanctification, and
redemption: 1Co 1:31 that, according as it is written, He that
glorieth, let him glory in the Lord.
Paul's "exchanged life" does not mitigate Paul's abhorrence of the idea of women in authority in the home or assembly:
1Ti_2:12 But I suffer not a woman to teach, nor to usurp authority
over the man, but to be in silence.
KJV unless otherwise noted