I usually hear the exact same argument from unbelieving Christians that I do from Muslims on the issue, actually. The "exact words" argument. They ask you "where did Christ say that He is God?" and you show them verses where He says that He and God are one, that He owns all that God owns, that He will judge the world on the last day, that He existed with God and shared in His glory before the world was even formed, ect ect. And they say "No, I want to see the exact words where Jesus said 'I am God, worship Me'". If you cant show them that Jesus said that, then all the claims of Jesus saying that He is only what God is, they will refuse to believe in it.
I also see alot of unbelieving Christians say "how can He be both God and the Son of God", I assume that they believe that He was literally always the Son of God, that He existed as the Son of God before the world was even formed. I dont believe that, I believe that He is the Son of God because He came from God into the womb of Mary and was born in the flesh of a man, therefore making Him a Son, but that He is a part of God Himself (the right arm). But I guess they believe that God has always had a literal Son with Him throughout eternity.
Jesus will raise the dead, judge the world, forgive sin, be worshiped by all and will be called Lord by everyone. He will save those who have come to Him and cast those who did not into the place made for satan and his angels. He will reign over the world in the temple of God. It is clear that He shares all of Gods attributes and abilities, and even in His glory-
Isaiah 42:8 "I am the LORD; that is my name! I will not yield my glory to another or my praise to idols."
Zechariah 14:9
9 The Lord will be king over the whole earth. On that day there will be one Lord, and his name the only name.