Since the very passage cited indicates that God gave the title KURIOS to Jesus because of his obedience it should be abundantly clear that it was not a divine title:
KJV Philippians 2:8 And being found in fashion as a man, he humbled
himself, and became obedient unto death, even the death of the
cross. 9 Wherefore God also hath highly exalted him, and given him a
name [ie: "title"] which is above every name ["title"]: 10 That at
the name ["title"] of Jesus every knee should bow, of things in
heaven, and things in earth, and things under the earth; 11 And that
every tongue should confess that Jesus Christ is Lord, to the glory
of God [, that is,] the Father.
Paul unambiguously says who God is: the Father. God gave his son, ordered him to die, exalted him to his right hand for his obedience and temporarily made him lord (Suzerain) and all of this was done "to the glory of God" who Paul identifies as "the Father".
There is an excellent antitype provided in Genesis in the account of Joseph's exaltation that I believe provides the best picture of how God wants us to understand Jesus' exaltation:
KJV Gen 41:40 Thou shalt be over my house, and according unto thy
word shall all my people be ruled: only in the throne will I be
greater than thou. Gen 41:41 And Pharaoh said unto Joseph, See, I
have set thee over all the land of Egypt. Gen 41:42 And Pharaoh took
off his ring from his hand, and put it upon Joseph's hand, and arrayed
him in vestures of fine linen, and put a gold chain about his neck;
Gen 41:43 And he made him to ride in the second chariot which he
had; and they cried before him, Bow the knee: and he made him
ruler over all the land of Egypt. Gen 41:44 And Pharaoh said unto
Joseph, I am Pharaoh, and without thee shall no man lift up his hand
or foot in all the land of Egypt.
Joseph was never Pharaoh. All of Joseph's authority derived from Pharaoh. However everyone in Egypt was to bow before Joseph and obey him as if he were Pharaoh himself. He sat beside him on the throne, bore his signing ring (IE: "he was a signer on the royal credit card") and he was ruler over all the people.
His authority was limited in that he was always the obedient subject of Pharaoh and never a challenger to that role. And his role was temporary, subject to the whims of the true Pharaoh.
Paul explicitly defines the source and limits of Jesus' granted authority in the same way:
KJV 1Co 15:24 Then cometh the end, when he shall have delivered up
the kingdom to God, even the Father; when he shall have put down all
rule and all authority and power. 1Co 15:25 For he must reign,
till he hath put all enemies under his feet. 1Co 15:26 The last enemy that shall be destroyed is death. 1Co 15:27 For he [God]
hath put all things under his feet. But when he saith all things are
put under him, it is manifest that he is excepted, which did put all
things under him. 1Co 15:28 And when all things shall be
subdued unto him, then shall the Son also himself be subject unto
him that put all things under him, that God may be all in all.
Psalm 2 also speaks of Jesus' exaltation in the same terms. It is God that has exalted him, placed him at his own right hand, given him total power over the nations and requires them to serve and obey him - temporarily:
KJV Psa 2:6 Yet have I set my king upon my holy hill of Zion.
Psa 2:7 I will declare the decree: the LORD hath said unto me, Thou
art my Son; this day have I begotten thee. Psa 2:8 Ask of me, and
I shall give thee the heathen for thine inheritance, and the uttermost parts of the earth for thy possession. Psa 2:9 Thou shalt
break them with a rod of iron; thou shalt dash them in pieces like a
potter's vessel. Psa 2:10 Be wise now therefore, O ye kings: be
instructed, ye judges of the earth. Psa 2:11 Serve the LORD with
fear [by submitting to his Christ], and rejoice with trembling. Psa
2:12 Kiss the Son, lest he be angry, and ye perish from the way, when
his wrath is kindled but a little. Blessed are all they that put their
trust in him.
So also Psalm 110, the passage most quoted of the OT in the NT!:
KJV Psa 110:1 A Psalm of David. The LORD said unto my Lord, Sit
thou at my right hand, until I make thine enemies thy footstool.
Psa 110:2 The LORD shall send the rod of thy strength out of
Zion: rule thou in the midst of thine enemies. Psa 110:3 Thy people
shall be willing in the day [time period] of thy power, in the
beauties of holiness from the womb of the morning: thou hast the dew
of thy youth. Psa 110:4 The LORD hath sworn, and will not repent,
Thou art a priest for ever after the order of Melchizedek. Psa 110:5
The Lord at thy right hand shall strike through kings in the day of his wrath. Psa 110:6 He shall judge among the heathen, he shall
fill the places with the dead bodies; he shall wound the heads over
many countries. Psa 110:7 He shall drink of the brook in the way:
therefore shall he lift up the head.
By sitting at God's right hand he shows that his authority is utterly derivative. God is never displaced from being the Almighty, Christ's God and father.
Isaiah speaks of the exaltation of his servant:
KJV Isa 52:13 Behold, my servant shall deal prudently, he shall be
exalted and extolled, and be very high.
This is the unified witness of the scriptures. There is but one God, the father and one lord (made so by God) Jesus Christ:
KJV Act_2:36 Therefore let all the house of Israel know assuredly,
that God hath made that same Jesus, whom ye have crucified, both Lord
He that has ears to hear, let him hear.