Mormonism:
Did Lehi and Alma see angels at the throne or did they only think they saw angels? Are gods angels?
This is the context of your first quote:
Alma 36:
6. For I went about with the sons of Mosiah, seeking to destroy the church of God; but behold, God sent his holy angel to stop us by the way.
7. And behold, he spake unto us, as it were the voice of thunder, and the whole earth did tremble beneath our feet; and we all fell to the earth, for the fear of the Lord came upon us.
8. But behold, the voice said unto me: Arise. And I arose and stood up, and beheld the angel.
9. And he said unto me: If thou wilt of thyself be destroyed, seek no more to destroy the church of God.
10. And it came to pass that I fell to the earth; and it was for the space of three days and three nights that I could not open my mouth, neither had I the use of my limbs.
11. And the angel spake more things unto me, which were heard by my brethren, but I did not hear them; for when I heard the wordsIf thou wilt be destroyed of thyself, seek no more to destroy the church of GodI was struck with such great fear and amazement lest perhaps I should be destroyed, that I fell to the earth and I did hear no more.
12. But I was racked with eternal torment, for my soul was harrowed up to the greatest degree and racked with all my sins.
17. And it came to pass that as I was thus racked with torment, while I was harrowed up by the memory of my many sins, behold, I remembered also to have heard my father prophesy unto the people concerning the coming of one Jesus Christ, a Son of God, to atone for the sins of the world.
18. Now, as my mind caught hold upon this thought, I cried within my heart: O Jesus, thou Son of God, have mercy on me, who am in the gall of bitterness, and am encircled about by the everlasting chains of death.
19. And now, behold, when I thought this, I could remember my pains no more; yea, I was harrowed up by the memory of my sins no more.
20. And oh, what joy, and what marvelous light I did behold; yea, my soul was filled with joy as exceeding as was my pain!
21. Yea, I say unto you, my son, that there could be nothing so exquisite and so bitter as were my pains. Yea, and again I say unto you, my son, that on the other hand, there can be nothing so exquisite and sweet as was my joy.
22. Yea, methought I saw, even as our father Lehi saw, God sitting upon his throne, surrounded with numberless concourses of angels, in the attitude of singing and praising their God; yea, and my soul did long to be there.
This is one of my favorite section of scripture. It really clarifies the heaven, hell, and spiritual death elements of the gospel. However, to answer your question this seems like a vision. Alma is the only one who saw it. And he even states in the quote you provided that "methought" he saw this. Which strengthens the idea that it was a vision.
However, what this chapter does not indicate is if these are considered angels because they are 1) heavenly beings, 3) messengers of God, or 4) beings on a mission from God.
As for 1 Nehpi
5. Wherefore it came to pass that my father, Lehi, as he went forth prayed unto the Lord, yea, even with all his heart, in behalf of his people.
6. And it came to pass as he prayed unto the Lord, there came a pillar of fire and dwelt upon a rock before him; and he saw and heard much; and because of the things which he saw and heard he did quake and tremble exceedingly.
7. And it came to pass that he returned to his own house at Jerusalem; and he cast himself upon his bed, being overcome with the Spirit and the things which he had seen.
8. And being thus overcome with the Spirit,
he was carried away in a vision, even that he saw the heavens open, and he thought he saw God sitting upon his throne, surrounded with numberless concourses of angels in the attitude of singing and praising their God.
The verse clearly identifies this as a vision. It goes further:
9. And it came to pass that he saw One descending out of the midst of heaven, and he beheld that his luster was above that of the sun at noon-day.
10. And he also saw twelve others following him, and their brightness did exceed that of the stars in the firmament.
11. And they came down and went forth upon the face of the earth; and the first came and stood before my father, and gave unto him a book, and bade him that he should read.
12. And it came to pass that as he read, he was filled with the Spirit of the Lord.
The One is Jesus, the Christ. The twelve others would be His apostles. Based on that information it seems that all three of the above meanings are applicable. They were heavenly beings (beings that resided in heaven), they are messengers from God, and they would all be on a mission from God. But the important point is that Jesus seems to be One of the angels. I think that answers your questions about whether angels will be in the Celestial Kingdom and if there is a difference between angels and gods.