CantThinkofaUserName:
Isn't omniscience one of the few ways God has been described?
Yes, and it should be noted that the description of omniscience includes both the Father and Jesus (Colossians 2:2-3) with regard to his immortal-human state after his resurrection. Before his resurrection, Jesus laid aside his omniscience with regard to his own concious human knowledge (Mark 13:32) in order to more-fully share in our mortal-human condition (Hebrews 2:17). Yet he still remained God (John 10:30).
Where does one draw the line, then, if you drop that?
The only thing that Jesus could not have laid aside and still have remained God would have been his divine, Spiritual uncreatedness (John 1:1-3), his from-everlasting-to-everlasting divine immortality (1 Timothy 6:16, Micah 5:2, John 8:58). It was by this essential aspect of divinity (I AM THAT I AM) that Jesus had the power to revive his human life into human-immortality after his human death (John 10:17-18, Romans 1:4). Because he was God, even as a human it was not possible for him to remain dead (Acts 2:24).
Can one also drop omnipotent and omnipresent from the list of things God is and still say He's God?
Yes. Jesus did not regain his omnipotence and omnipresence until after his resurrection (Matthew 28:18,20). Yet he still remained God before his resurrection (John 10:30).
It's kind of like that "rock/build" argument: Can God build a rock so heavy that He can't pick it up? On one side of the coin, you want to say, "Yes, of course He can. He can do --anything--!" But if He did build a rock so heavy that He couldn't pick it up, then there would be something that He is unable to do: Pick up the rock. And thus, one would conclude that He is not omnipotent.
That logical paradox only seems to prove the impossibility of the whole idea of omnipotence, when in fact it doesn't necessarily prove anything with regard to whether or not God can be omnipotent in reality. For we know from Zeno's paradoxes that one can seem to have logically denied the possibility of something while in fact all one has done is contradicted reality.
For example, Zeno's arrow paradox only seems to prove by logic that an arrow shot from a bow can never reach its target. For before an arrow reaches its target it has to first travel half of the distance between the bow and the target, and then it has to travel half the distance between the halfway point and the target, and then it has to travel half the distance between the three-quarters-way point and the target, and so on, and so on, so that the arrow will always have to travel a shorter and shorter distance, ad infinitum, so that it never reaches its target.
The logical fallacy here is the idea that an ultimately-infinitesimal distance is any distance at all in reality, where arrows do in fact end up reaching their targets. There could be a similar logical fallacy with regard to the God-rock paradox, a fallacy which, instead of involving a misconception of how the infinitesimal must relate to reality, involves a misconception of how the infinite (in this case infinite power) must relate to reality.
Humans can't read each others minds.
Even before his resurrection, Jesus at least sometimes was able to read minds (Matthew 9:3-4), just as he was at least sometimes able to do omnipotent-type things (Mark 4:41). But these abilities would not have come from his human spirit, which is just like ours (Hebrews 2:17), but from his divine Spirit (Colossians 2:9).
When Jesus gives a portion of his divine Spirit to Christians (John 20:22), some of them receive a gift called the "word of knowledge" (1 Corinthians 12:8) by which the Spirit miraculously gives them specific knowledge regarding something.
The whole point of being "fully divine" consists of many things, one of which happens to be omniscience.
Actually, nothing requires that in order to remain fully divine, Jesus before his resurrection could not have purposely limited his conscious human knowledge in order to more fully share in the mortal-human condition (Hebrews 2:17).
I seen a movie of Jesus' last few years, and it showed Jesus being asked (in the desert, by, I believe, the devil?) to separate Himself from Gods omniscience (the movie had a few A-list actors in it, so I'm assuming they did their research) so that He'd be able to -really- be tempted. He was already 31 (?) years old at the time. So is there any scripture that either mentions or implies the separation or was it implied?
The Bible doesn't say that Jesus limited his conscious human knowledge on the request of the devil. But because Jesus became fully human, he was tempted in every way that humans are tempted (Hebrews 4:15).
While Jesus was on earth, how exactly was His spirit different than ours?
Even in heaven now, Jesus is still our fully-human high priest (Hebrews 7:24-26), with a human spirit no different than ours (Hebrews 2:17). But his divine Spirit is different from ours in its uncreatedness, innate immortality, infinitude, omnipotence, etc.
What kind of connection did His spirit have with God that normal people did not?
Jesus' human spirit has interaction with his divine Spirit, which indwells him without measure (Colossians 2:9, John 3:34). The human spirits of Christians also have interaction with his divine Spirit (Acts 8:29), and they receive it within themselves (2 Peter 1:4, Hebrews 6:4), but only in a limited measure, some more than others. For example, a Christian can have such a large portion of Jesus' divine Spirit within him that he is able to work amazing miracles (Romans 15:19).