The JW’s get this line of reasoning from Psalm 82:1-8 and John 10:33-36, but of course they take it out of context and just see that humans are being called “gods” in both verses. Let’s take a look:
Psalm 82:1-8, God stands in the congregation of the mighty; He judges among the gods. 2 How long will you judge unjustly, And show partiality to the wicked? Selah 3 Defend the poor and fatherless; Do justice to the afflicted and needy. 4 Deliver the poor and needy; Free them from the hand of the wicked. 5 They do not know, nor do they understand; They walk about in darkness; All the foundations of the earth are unstable. 6 I said, “You are gods, And all of you are children of the Most High. 7 But you shall die like men, And fall like one of the princes.” 8 Arise, O God, judge the earth; For You shall inherit all nations.
John 10:33-36, 33 The Jews answered Him, saying, “For a good work we do not stone You, but for blasphemy, and because You, being a Man, make Yourself God.” 34 Jesus answered them, “Is it not written in your law, ‘I said, “You are gods”’? 35 If He called them gods, to whom the word of God came (and the Scripture cannot be broken), 36 do you say of Him whom the Father sanctified and sent into the world, ‘You are blaspheming,’ because I said, ‘I am the Son of God’?
The context of Psalm 82 begins in verse 1; it shows how the judges were judging “unjustly,” and showing partiality to the wicked. In verse 7 it shows that these “gods” will die like men; God is explaining to us that even though they wield power as if they were “gods”, they are going to die like the rest of us. The JW is right on one point, these judges were not truly gods in any way, shape, or form. Because, there is only one true God and he did not create any other “gods.” They were mighty men who wielded power on the earth.
However, Jesus is called God with a capital G in several places in their NWT, so this line of reasoning that Jesus was called “a god” only in the sense that he was Mighty cannot be used (Isaiah 9:6, Matthew 1:23, John 20:28.) Because Jesus is explicitly called “The Mighty God, My Lord and My God, and God With Us.” The JW’s try to use their same reasoning from Psalm 82 stating that Jesus was mighty like the “gods” in Psalm 82, but he himself is only that; not Deity in any way. If that is true, then calling Jesus your God as Thomas did, is blasphemy against the one true God, YHWH the Father.
So in John 1:1 when they say Jesus was just Mighty, but not divine in any way, they have to explain away how this person who is not God (only 1 true God) created everything in the Universe. Obviously the judges who were called “gods” were Mighty men with power, but they obviously were very different from the Word of God who is called “a god” in their NWT.