Ok Rev, let me take a stab at this. I am not representing the UPC or my church in this interpretation but rather this is my attempt to supply an interpretation that is consistent with monotheism and consistent with the revealed dual nature of the incarnation.
I will start first with the premise that Jesus at times revealed His divine nature (walking on water, raising the dead, forgiving sins) and at times revealed His common kinship with us as a real man (He slept, hungered, thirsted, did not know somethings etc.).
In any particular verse, I look to see if Jesus is peeling back the flesh and revealing the divine, or if He is walking hand and hand as our brother, a true man.
Please note, that He at times He actually reveals both natures in word or action. In John 17, I start by stating Jesus is revealing, or sharing His common humanity as man, advocate, kinsmen redeemer, Son of God. He starts by praying...a condition of man, not God. God does not need to pray. Man does. He starts by praying...
Jhn 17:1 These words spake Jesus, and lifted up his eyes to heaven, and said, Father, the hour is come; glorify thy Son, that thy Son also may glorify thee:
So, this is Jesus praying, as a man, as a brother for the Apostles. It's preceeded by specifically praying about their reception of the Holy Spirit (John 16) fulfilled in the book of Acts on the day of Pentecost and His leaving to be glorified.
When looking up the words "glory" used in the verse you have supplied, Stong's list the following:
1) opinion, judgment, view
2) opinion, estimate, whether good or bad concerning someone
a) in the NT always a good opinion concerning one, resulting
in praise, honour, and glory
3) splendour, brightness
a) of the moon, sun, stars
b) magnificence, excellence, preeminence, dignity, grace
1) a thing belonging to God
a) the kingly majesty which belongs to him as supreme ruler, majesty in the sense of the absolute perfection of the deity
2) a thing belonging to Christ
a) the kingly majesty of the Messiah
b) the absolutely perfect inward or personal excellency of Christ; the majesty
3) of the angels
a) as apparent in their exterior brightness
4) a most glorious condition, most exalted state
a) of that condition with God the Father in heaven to which Christ was raised after he had achieved his work on earth
b) the glorious condition of blessedness into which is appointed and promised that true Christians shall enter after their Saviour's return from heaven
AV - glory 145, glorious 10, honour 6, praise 4, dignity 2, worship 1; 168
Jhn 17:22 And the glory which thou gavest me I have given them; that they may be one, even as we are one:
I think that no matter your persuasion (trinitarian, oneness, arian, mormon, tritheist etc.) there is some interpretation given to the text as reading it literally can be taken in different ways. I think the man Christ Jesus was praying and revealing prophetically that: 1) the glory is God's Spirit which Jesus has given them by word (followed up in Acts in "deed")and is also pointing prophetically towards the final glorification they would have in the next life (see point B of strongs definition) which will unify the body of belivers both by Spirit and by body as Jesus was unified and One with God both by body and Spirit. First stab...what say ye?