Those who believe the sins of Sodom were exclusively sexual sins need to consider this scripture:
Ezekiel 16:49: Behold, this was the iniquity of thy sister Sodom, pride, fulness of bread, and abundance of idleness was in her and in her daughters, neither did she strengthen the hand of the poor and needy.
It is clear from reading the account of Abraham and Lot that Sodom was not all about sexual sin. Lot “pitched his tent toward Sodom,” (Genesis 13:12) a symbol that he favored the things of the world over spiritual matters. Abraham, on the other hand, went to Hebron and immediately built an altar to the Lord (Genesis 13:18).
Over time, it has become clear that Abraham was known for his generosity, his charity and his humility. Lot pitching his tent toward Sodom showed that he did not care that the people of Sodom were unwelcoming, haughty, prideful and uncharitable. We cannot discount the fact that Sodom was evil precisely because the people did not care about the poor and were prideful (just as people in the Book of Mormon were often guilty of the same sin).
But those who would like the sins of Sodom only to be about lack of charity face a conundrum: the scriptures and the teachings of modern-day prophets make it clear that the sins of Sodom were also sexual in nature.
Consider the verse that comes right after Ezekiel 16:49, Ezekiel 16:50:
And they were haughty, and committed abomination before me: therefore I took them away as I saw good.
Yes, the people of Sodom were prideful, but they were also guilty of sexual abominations. The Church Topical Guide references these sins.
The Joseph Smith translation clarifies some important points from Genesis (Lot did not offer up his daughters to be raped by the people of Sodom), but also implies that sexual sin took place:
JST, Genesis 19:9–15.
9 And they said unto him, Stand back. And they were angry with him.
10 And they said among themselves, This one man came in to sojourn among us, and he will needs now make himself to be a judge; now we will deal worse with him than with them.
11 Wherefore they said unto the man, We will have the men, and thy daughters also; and we will do with them as seemeth us good.
12 Now this was after the wickedness of Sodom.
13 And Lot said, Behold now, I have two daughters which have not known man; let me, I pray you, plead with my brethren that I may not bring them out unto you; and ye shall not do unto them as seemeth good in your eyes;
14 For God will not justify his servant in this thing; wherefore, let me plead with my brethren, this once only, that unto these men ye do nothing, that they may have peace in my house; for therefore came they under the shadow of my roof.
15 And they were angry with Lot and came near to break the door, but the angels of God, which were holy men, put forth their hand and pulled Lot into the house unto them, and shut the door.
The New Testament makes it very clear that sexual sin was involved:
Even as Sodom and Gomorrha, and the cities about them in like manner, giving themselves over to fornication, and going after strange flesh, are set forth for an example, suffering the vengeance of eternal fire.
And then we have Jeremiah:
I have seen also in the prophets of Jerusalem an horrible thing: they commit adultery, and walk in lies: they strengthen also the hands of evildoers, that none doth return from his wickedness: they are all of them unto me as Sodom, and the inhabitants thereof as Gomorrah.
Finally, we have a modern-day prophet, Spencer W. Kimball, saying the following in October 1977:
The growing permissiveness in modern society gravely concerns us. Certainly our Heavenly Father is distressed with the increasing inroads among his children of such insidious sins as adultery and fornication, homosexuality, lesbianism, abortions, pornography, population control, alcoholism, cruelty expressed in wife-beating and child-abuse, dishonesty, vandalism, violence, and crime generally, including the sin of living together without marriage.
We call upon our Church members everywhere to renew their efforts to strengthen the home and to honor their parents, and to build better communications between parent and child.
Important as it is, building stronger homes is not enough in the fight against rising permissiveness. We therefore urge Church members as citizens to lift their voices, to join others in unceasingly combatting, in their communities and beyond, the inroads of pornography and the general flaunting of permissiveness. Let us vigorously oppose the shocking developments which encourage the old sins of Sodom and Gomorrah, and which defile the human body as the temple of God.
The Gospel has always been about being charitable and helpful, succoring the poor and the afflicted and being welcoming and humble. People from Sodom did not act in this way. But we gain nothing by ignoring the other sins of Sodom, which are outlined in the scriptures and the talks of modern-day prophets.