This is the fundamental disconnect between orthodox monotheistic religions (Christianity and Judaism) and Mormonism.
God cannot "share godhood" with human beings, for the simple reason that the essential and defining attribute of divinity is uncreated eternal existence.
Can God make you uncreated? Of course not; the question is its own contradiction. Can God make you eternal? We, he can, and did, make you so that you will live forever, but that's not quite the same as making you eternal, because you started at a point in time. God cannot "make you eternal," in the sense of eternally pre-existent, because, again, it's a contradiction in terms. The act of "making" automatically implies that you didn't exist before you were made.
God, on the other hand, was never made uncreated, and that's exactly the point: God was never made. He just eternally is. "I AM WHO AM." God the Father was not made. God the Son was not made ("begotten, not made, before all the ages," says the Nicene Creed.). God the Holy Spirit was not made.
The "godhood" you describe is the godhood of polytheistic paganism, which is not godhood at all, but simply an order of created being higher than that of human beings.
Orthodox Christians know of such an order of created being. We call the good ones, "angels". Some of them are fallen. Those are "demons".
Think of who might want you to worship a being which is not God, but merely of a higher order of created existence than humans. Hint: it's not going to be a good angel who wants that.
Uncreated eternal existence is a characteristic of THE God, God the Almighty, God the eternal Father.
Who says that it has to be a characteristic of the godlike essence we will inherit from the Father?
Maybe it's all a matter of semantics, then.