There are a few things that I dislike about this question with reward.
Primarily this; like Satan in the garden of Eden, this isn't an outright attach on divinity - but the hint to make one question the extent of divinity. This is subtly satanic; placing question's in ones mind that demean, or lessen, divinity.
Secondly, when Thomas bowed before Jesus and proclaimed of Him, "My Lord and my God...", he was not rebuked: The worship was accepted by Jesus because He IS God - the fullness of the Godhead dwelleth bodily in Him. To not see this is to believe that Jesus is a part of the Godhead when the Godhead is a part of Jesus.
Lastly, Paul said, in
Titus 3:9, to avoid foolish questions and contentions that are unprofitable and vain. Questions that become divisive rather than unifying are, again, tools that demean us as Christians. We can do the right thing (examine the Word) in the wrong way - creating strife, hard feelings and division. If we dig deeply enough even amongst brethren of the same precious faith we can find areas that divide; we become like the house of Chloe - separated by ill will and divisiveness. Majoring on minors is what this seems to me; focusing on something that will more likely harm than help. Some questions as they are poised are not answerable - notice
as they are poised. 'Do you still beat your wife?' is an example; if untrue it cannot be answered properly because the inference of the question is incorrect.
I won't often address threads like this; I don't like the feeling they birth. While iron should sharpen iron, questions of this sort more often become hurtful in many ways. At least this is my feeling; my .02 worth.