This is a good question. It probably has as many answers to this as there are Mormons. Basically, we don't have a very good idea of what it means to be a god. So, when Mormons teach that men can become gods, do they mean men will become identical to God the Father? Some say yes, some say no.

At any rate, the term "God" as in our Heavenly Father, is not necessarily the same as "god", what we aspire to become.

Anyway, I will give my opinion, based on the scriptural information we do have, most of which is in D&C section 132.

Before I continue, let me note that the term "gods" as in "men can become gods" must have a different meaning than the term "God" when used to describe Jesus prior to his mortal life. This is because (as you will see below) becoming a "god" can happen only after our resurrection. More on that after the scriptures.

(from D&C 132:15-17)

"Therefore, if a man marry him a wife in the world, and he marry her not by me nor by my word, and he covenant with her so long as he is in the world and she with him, their covenant and marriage are not of force when they are dead, and when they are out of the world; therefore, they are not bound by any law when they are out of the world.

"Therefore, when they are out of the world they neither marry nor are given in marriage; but are appointed angels in heaven, which angels are ministering servants, to minister for those who are worthy of a far more, and an exceeding, and an eternal weight of glory.

"For these angels did not abide my law; therefore, they cannot be enlarged, but remain separately and singly, without exaltation, in their saved condition, to all eternity; and from henceforth are not gods, but are angels of God forever and ever."

My comments: those who do not have their marriage sealed in the temple in this world (proxy is of course OK as well, and the proxy sealings will continue into the millenium) will become angels, not gods.

(from D&C 132:19-20)

"And again, verily I say unto you, if a man marry a wife by my word, which is my law, and by the new and everlasting covenant, and it is sealed unto them by the Holy Spirit of promise, by him who is anointed, unto whom I have appointed this power and the keys of this priesthood; and it shall be said unto them--Ye shall come forth in the first resurrection; and if it be after the first resurrection, in the next resurrection; and shall inherit thrones, kingdoms, principalities, and powers, dominions, all heights and depths-- then shall it be written in the Lamb's Book of Life, that he shall commit no murder whereby to shed innocent blood, and if ye abide in my covenant, and commit no murder whereby to shed innocent blood, it shall be done unto them in all things whatsoever my servant hath put upon them, in time, and through all eternity; and shall be of full force when they are out of the world; and they shall pass by the angels, and the gods, which are set there, to their exaltation and glory in all things, as hath been sealed upon their heads, which glory shall be a fulness and a continuation of the seeds forever and ever.

"Then shall they be gods, because they have no end; therefore shall they be from everlasting to everlasting, because they continue; then shall they be above all, because all things are subject unto them. Then shall they be gods, because they have all power, and the angels are subject unto them."

My comments: those who do have their marriages sealed in the temple (and are faithful) will be gods. Characteristics of "gods" include a "continuation of the seeds forever", "all power", and "the angels are subject unto them".

So it seems to me that to be a "god" is closely related to marriage and the concept of eternal increase. I would say that only those who are "gods" will be able to produce spirit children of their own (that's what "continuation of the seeds" means to me). Evidentally the production of spirit children (through whatever process, which in my opinion probably involves placing an eternal "intelligence" into some sort of spiritual body) requires a male and female. Now whether the spirit children we produce will have the same relationship to us as we do to our Heavenly Father, I don't know. In my opinion, the phrase "have all power" implies that to me. So I believe that we really will become as our Father in Heaven is now. However, I also believe that alternate interpretations are possible.

Now, back to Jesus. The fact that he was a God prior to his resurrection complicates my interpretation. There are a few possibilities to resolve this. (1) My interpretation is just plain wrong, (2) Jesus was able to produce spirit children in the same sense that we will be able to, even though he had not yet received a glorified physical body, (3) Jesus had some of the attributes of a "god" that I have listed prior to his resurrection, such as "all power", and "the angels are subject unto him", and so the term is still mostly appropriate, (4) Jesus (and presumably God the Father) are not the same sort of "gods" that we will become, but English does not have another word to adequately describe the difference. There's probably more.

My personal feeling is that number (3) is closest to being correct-- Jesus had many of the same attributes of our Heavenly Father, before Jesus came to earth, so it makes sense to call him a "God". However, Jesus was not identical to God the Father, in the sense that Jesus could not produce spirit children of his own, before he received his own glorified body (the first step of which was to receive a mortal body).

Large caviat: most of this has been the "gospel according to John" and may be completely wrong. But, I think it is a consistent way of interpreting the Mormon doctrinal statements that we do have on the matter.