No, you're not. You're trying to make it say that Jesus denied being God, and this is the furthest form the truth. When Jesus says "for what good work do you stone me?" that is clearly a rhetorical question, not a statement that he is being stoned for a good work. Neither does he state that the Son of God is anything less than God. That, you see, is a created assumption that is found in a JW doctrinal statement, not the biblical text itself.
From the KJV itself, as it was before: "..Jesus answered them, Many good works have I shewed you from my Father; for which of those works do ye stone me? The Jews answered him, saying, For a good work we stone thee not; but for blasphemy; and because that thou, being a man, makest thyself God. Jesus answered them, Is it not written in your law, I said, Ye are gods? If he called them gods, unto whom the word of God came, and the scripture cannot be broken; Say ye of him, whom the Father hath sanctified, and sent into the world, Thou blasphemest; because I said, I am the Son of God?" (John 10:32-36)
Please answer the question, did Jesus say that they were stoning him and I quote, "because [he] said, I am the Son of God?", did Jesus say that or did he not?
Yes, he did. The Jews said they were stoning him because he made himself equal to God. Jesus said that they said he blasphemed because he said he was the Son of God. These statements do not stand in disagreement, nor did the Jews seem to think there was any difference. It's only the Jehovah's Witness (and other Unitarians) that say there is a difference, not the Jews of Christ's audience.
Just a question, what do you think about these verses? Those who are born of God are sons of God, are they also God?
1 John 3
Behold, what manner of love the Father hath bestowed upon us, that we should be called the sons of God: therefore the world knoweth us not, because it knew him not.
Beloved, now are we the sons of God, and it doth not yet appear what we shall be: but we know that, when he shall appear, we shall be like him; for we shall see him as he is.