By sharing these attributes, they are equal to one another and unique from anything else in spiritual and physical reality. They are in perfect agreement 100% of the time.
Because Jesus Christ chose to leave eternity and enter our time domain, He layed aside His Omnipresence. I say this because, to be a perfect example to us and be a bondservent to the Father via the Holy Spirit, He was in total reliance. He had a fleshly will of which the Father and the Holy Spirit never have had. Jesus perfectly submitted His fleshly will to the Father to demonstrate His worthyness as a ransom.
On the cross, when He took on the sins of the world, Jesus was briefly separated from the Father in order to be cursed of the Holy and Just Father in heaven. This separation was what most scholars think troubled Christ so much in the Garden. This separation also lets us know they are separate beings.
What differs our God from polytheistic gods, is the almighty Godhead is always unified in purpose and thought. Their Oneness is brought about by their perfect unity. Their unity makes them One, whether in the flesh divided by time and eternity, or existing in the timeless habitation of eternity.
Jesus Christ is in the body of a glorified man for eternity. The Father and the Holy Spirit are not.
Be careful. Again, this can be complicated. The Three Persons of the Trinity are NOT separate in any way. I think we all agree with each other essentially. For clarity we must always seek what the Bible says. The Father, Son and Holy Spirit inhabit eternity. They had no beginning. They were not created persons/beings. All three exhibit attributes that are shared by nothing else. Omniscience, Omnipresence and Omnipotence.
Sorry!
It is funny that I haven't written about the Trinity in quite some time on this particular thread!!! If you go back, I think it has been several weeks! Before I continue, I will start by saying that discussing the Trinity is fraught with difficulty, as we have only seen the slightest of light in the subject. This, like the Incarnation or the Eucharist, is a subject that we can only go so far. Our rational thought will not be able to grasp these concepts completely. With that said, let's see what's going on here.
You said "...They are in perfect agreement 100% of the time."
Yes. There is only one divine will. Each possesses the totality of the attributes of God, and each possess the will. They do not share it. Again, a difficult concept to grasp. But without this, we fall into the problems of trithesism.
You said "...Because Jesus Christ chose to leave eternity and enter our time domain, He layed aside His Omnipresence."
I think it would be better to say that Jesus chose not to use it. If you say He layed it aside, He no longer has the divine nature, correct? Then He is "only" Jesus the man. A good analogy (if you noticed, I like analogies) would be the following. The person of Jesus Christ is like a mountain, covered with clouds. Only the peak of the mountain pokes through the clouds. This portion represents Jesus divine knowledge. It has access to the light. The portion below the clouds represents Jesus in those moments when He "does not know the end time". Or when He is suffering on the cross. His humanity does not have access to the "light" during these moments. Yet, the person of Jesus, through His divinity, does. During His sufferings, Jesus did not have access to the light of His divinity - but there is no separation.
If we say that Jesus' divinity left Him during His sufferings, we are becoming docetists, the Gnostic heresy that John fought. They said that Jesus' divinity only appeared to suffer, or that His divinity left Him during the suffering on the cross. This goes against the Apostolic Tradition and the Scripture that somehow, Jesus the person suffered - which continued to include both the divine and human nature. If His divine nature left Him, what good would His suffering had been then, as it would not have been perfect. Only God can offer a perfect sacrifice.
Regards