The Philippians reference does not support all and the unsaved will be reconciled. It means everyone even the demons will acknowledge Jesus as King.
Even in the Gospels demons would proclaim Jesus as the Son of God or Son of man. This was not a profession of faith in Christ but acknowledging what they knew to be fact and true. As James says even the devils believe there is one God.
"Vincent's Word Studies
At the name of Jesus (ἐν τῷ ὀνόματι)
Rev., better, in the name. The name means here the personal name; but as including all that is involved in the name. See on Matthew 28:19. Hence the salutation is not at the name of Jesus, as by bowing when the name is uttered, but, as Ellicott rightly says: "the spiritual sphere, the holy element as it were, in which every prayer is to be offered and every knee to bow." Compare Ephesians 5:20."
https://www.studylight.org/commentaries/vnt/philippians-2.html
"In the NT κάμπτω is found only in combination with γόνυ (γόνατα), and in this connection it is used trans. with γόνυ (γόνατα) as obj. (R. 11:4; Eph. 3:14) and instrans. with γόνυ as subj. (R. 14:11; Phil.2:10)."
"κάμπτειν γόνυ (γόνατα) is the gesture of full inner submission in worship before the one whom we bow the knee. Thus in R. 14:11 bowing the knee is linked with confession within the context of a judgement scene, and in Phil. 2:10 it again accompanies confession with reference to the worship of the exalted Kyrios Jesus by the cosmos. At R. 11:4 κάμπτειν γόνυ τῇ Βάαλ signifies surrender to Baal, and at Eph. 3:14...is a solemn description of the attitude of submission to God in prayer" (Theological Dictionary of the New Testament (TDNT), Vol.3, p.594-595, Heinrich Schlier, ed. Kittel., Eerdmans, 1978).
"2:10-11 These final verses of the christologial hymn describe the universal homage and acclamation that will be accorded the one whose name ranks above all others...the adoration is in honour of the exalted Christ...the parallel words of v.11b describe explicitly the act of reverence as paid directly to the Son and 'to the glory of God the Father'. It is clear that Jesus is the one being worshipped."
"...'Every knee shall bow'. The universal scope of the adoration offered to Jesus as Lord is described by the words 'every knee shall bow' and 'every tongue confess'. (v.11)...The bending of the knee was an expression denoting great reverence and submission in the OT, especially marking the humble approach of the worshipper who felt his need so keenly that he could not stand upright before God. While the usual position in prayer was that of standing (e.g., Je. 18:20; 1 Ki. 18:15; 17:1, etc), in times of special need or extremity the worshipper fell on his knees (so Ez. 9:5, 15). Likewise in the Gospels people stand to pray (Lk.18:11, 13) and Jesus assumes His disciples will stand (cf. Mt.6:5); but when there is an acute sense of need or urgent entreaty, the supplicant falls down before God. So Jesus in Gethsemane bows down in lowly submission and distress (Mt.26:9; Mk.14:35; Lk.22:41). The bowing of the knee here at Phil. 2:10, as Martin puts it, is 'a mark of extreme abasement and submission (as in Eph. iii.14) and denotes that the universal homage marks the subjection of those who kneel to the lordship of Christ'.47"
"...Is. 45:22-25...The Lord...swears solemnly by his own life that 'every knee will bow before me; by me every tongue will swear'...the words of v.23, which are reiterated in Phil. 2:10-11, express the notion of the universal and final homage to Yahweh.
"...By invoking Is.45:23 as its proof-text the author of the hymn and the...community in which the hymn originated live 'in confident expectation that this salvation will soon be universally visible'.55"
(The New International Greek Testament Commentary (NIGTC): The Epistle to the Phillipians, Peter T. Obrien, 1991, p.233ff)
"bend the knee in worship, LXX Is.45.23, etc.":
https://translate.academic.ru/κάμπτω/el/xx/
http://www.perseus.tufts.edu/hopper/text?doc=Perseus:text:1999.04.0057:entry=ka/mptw
"No hypocritical confession will satisfy God. “No man can say that Jesus is the Lord, but by the Holy Ghost” (1Cor. 12:3). Further, Phil. 2:11 says that the confession is “to the glory of God the Father.” No confession compulsion and force would glorify God the Father.” The whole text implies a real change of heart to make this confession truly “in the Name of Jesus” and “to the glory of God the Father.” Note, further, that those who “bow” and “confess” are in heaven," “in earth,” and “underearth.” This includes the whole creation of God."
http://www.tentmaker.org/books/is_hell_eternal/ch8_neglected_age.html
"Talbot argues Paul anticipated this exhaustive reconciliation because of the verb he chose: confess. According to Talbot, “he chose a verb that throughout the Septuagint implies not only confession, but the offer of praise and thanksgiving as well.”3 He goes on to suggest that, while a king or queen could force a subject to bow against their will, praise and thanksgiving can only come from the heart:
" “either those who bow before Jesus Christ and declare openly that he is Lord do so sincerely and by their own choice or they do not. If they do this sincerely and by their own choice, then there can be but one reason: They too have been reconciled to God.4” "
Rev.5:13 And every creature which is in heaven, and on the earth, and under the earth, and such as are on the sea, and all that are in them, heard I saying, Blessing, and honour, and glory, and power, be unto him that sitteth upon the throne, and unto the Lamb for the eons of the eons.
Isa.45:21b and there is no God else beside me; a just God and a Saviour; there is none beside me. 22 Look unto me, and be ye saved, all the ends of the earth: for I am God, and there is none else. 23 I have sworn by myself, the word is gone out of my mouth inrighteousness, and shall not return, That unto me every knee shall bow, every tongue shall swear.
Phil.2:9 For this reason also, God highly exalted Him, and bestowed on Him the name which is above every name, 10 so that at the name of Jesus EVERY KNEE WILL BOW, of those who are in heaven and on earth and under the earth, 11 and that every tongue will confess that Jesus Christ is Lord, to the glory of God the Father. (NASB)
"Keep in mind these 2 simple observations:
The text In Isaiah 45:22-23 that inspires 2:9-11 uses the future tense.
(2) The other NT text referring to the worship of everyone “in heaven, on earth, and under the earth” presents a vision of what happens, not of what might happen (Rev. 5:13)."
This includes everyone in the universe, including the dead and demons:
Rev.5:13 And every creature which is in heaven, and on the earth, and under the earth, and such as are on the sea, and all that are in them, heard I saying, Blessing, and honour, and glory, and power, be unto him that sitteth upon the throne, and unto the Lamb for ever and ever.
John speaks of "every creature" & to emphasize this again he repeats "and all that are in them":
Rev.5:13 And every creature which is in heaven, and on the earth, and under the earth, and such as are on the sea, and all that are in them, heard I saying, Blessing, and honour,
and glory, and power, be unto him that sitteth upon the throne, and unto the Lamb for ever and ever.
This worship (v.13) uses the same worshipful words as the redeemed of vs 9-10 use in v.12:
12 Saying with a loud voice, Worthy is the Lamb that was slain to receive power, and riches, and wisdom, and strength, and honour, and glory, and blessing.
All this being in the context of salvation - "the Lamb that was slain" (v.12 & 13).
“How ironic that those who believe God will not violate the ‘free ’will of man have no problem believing He will violate His own free will—that all men should be saved!” - David Nuckols
“He does not save men by arbitrary force. He saves by their wills, through moral influence. God has resources in his universe, the all conquering agencies of love, to make the unwilling soul willing! He has light enough to make the blind see, and love enough to melt the hardened heart.” -Quillen Hamilton Shinn
"It's tempting for me to believe that God is the grand master playing chess and we are the 5 year old rookie. Theoretically we are "free" to win the chess game, it is possible. No not really in the libertarian sense - it is unlikely to the point of virtual zero. in other words, God will always get His way, despite our best efforts not to be saved."
According to the Bible mercy will triumph over judgement.
Love will conquer all.
http://www.tentmaker.org/ScholarsCorner.html