Did they want to be their own gods and throw off, what they may have perceived as, God's yoke? Or did they want to be LIKE God so they could, they thought, be that much closer to Him?
Ge 3:5 For God doth know that in the day ye eat thereof, then your eyes shall be opened, and ye shall be as gods, knowing good and evil.
Is it anywhere indicated that they wanted a 'closer" relationship with God? Their response to the sin was to hide from God.
How does God view those that seek equality with God?
Act 12:22 And the people gave a shout, [saying, It is] the voice of a god, and not of a man.
Act 12:23 And immediately the angel of the Lord smote him, because he gave not God the glory: and he was eaten of worms, and gave up the ghost