Jesus repeatedly calls himself 'I am' (this doesn't always comes through in English), which is God's name.
Immediately he made the disciples get into the boat and go before him to the other side, while he dismissed the crowds. And after he had dismissed the crowds, he went up on the mountain by himself to pray. When evening came, he was there alone, but the boat by this time was a long way from the land, beaten by the waves, for the wind was against them. And in the fourth watch of the night he came to them, walking on the sea. But when the disciples saw him walking on the sea, they were terrified, and said, “It is a ghost!” and they cried out in fear. But immediately Jesus spoke to them, saying, “Take heart; it is I. Do not be afraid.”
'It is I' here in Greek is 'ego eimi' - 'I am'. Jesus says this whilst doing something God is known for - having power over water, which represents the powers of chaos in many ancient myths. All through the Tanakh we see God claiming power over water, subduing the forces of chaos etc. This is what this passage is about and there are many like it.
And see,
Thomas answered him, “My Lord and my God!”
As well as,
And they were filled with great fear and said to one another, “Who then is this, that even the wind and the sea obey him?”
Prophets do not control these forces, but God does it for them; here we see Jesus doing it of his own accord.
And the Sanhedrin wants to put him to death for blasphemy,
“Have you no answer to make? What is it that these men testify against you?” But he remained silent and made no answer. Again the high priest asked him, “Are you the Christ, the Son of the Blessed?” And Jesus said, “I am, and you will see the Son of Man seated at the right hand of Power, and coming with the clouds of heaven.” And the high priest tore his garments and said, “What further witnesses do we need? You have heard his blasphemy. What is your decision?” And they all condemned him as deserving death.
And,
And after six days Jesus took with him Peter and James and John, and led them up a high mountain by themselves. And he was transfigured before them, and his clothes became radiant, intensely white, as no one on earth could bleach them. And there appeared to them Elijah with Moses, and they were talking with Jesus. And Peter said to Jesus, “Rabbi, it is good that we are here. Let us make three tents, one for you and one for Moses and one for Elijah.” For he did not know what to say, for they were terrified. And a cloud overshadowed them, and a voice came out of the cloud, “This is my beloved Son; listen to him.” And suddenly, looking around, they no longer saw anyone with them but Jesus only.
Also this is John talking of Jesus,
"I baptize you with water for repentance, but he who is coming after me is mightier than I, whose sandals I am not worthy to carry. He will baptise you with the Holy Spirit and fire. His winnowing fork is in his hand, and he will clear his threshing floor and gather his wheat into the barn, but the chaff he will burn with unquenchable fire.”
What prophet does this?
And,
“Not everyone who says to me, ‘Lord, Lord,’ will enter the kingdom of heaven, but the one who does the will of my Father who is in heaven. On that day many will say to me, ‘Lord, Lord, did we not prophesy in your name, and cast out demons in your name, and do many mighty works in your name?’ And then will I declare to them, ‘I never knew you; depart from me, you workers of lawlessness.’
Does anyone prophesise in the name of another prophet? Do prophets have the knowledge of who will go to Heaven, to reject them therefrom?
Here Jesus says,
"I am the Alpha and the Omega, the first and the last, the beginning and the end.”
I know you aren't going to be convinced by these things, but the authors are making theological Tanakh based arguments here about Jesus' divinity, whether you believe this was added later or whatever you may believe. Some argue that Mark, for example, has an adoptionist theology, but this is again making Jesus God by another route. People are worshipping Jesus from the 1st century, so you'd have to make a very strong case that this is a later addition when it's attested even earlier than the virgin birth (which we don't find in Paul's letters, albeit that doesn't mean he didn't believe it, it's just not attested).
