Here is the problem with this. When one says "open-minded" in the context of what the OP is arguing is a fallacy. At one point he is judging one group by "sin" and another group because they "agree" with them, and then creating a third group that is somehow "pure".
This is an oversimplification, False Analogy, Strawman, Hasty simplification of an issue.
There is no reason to think just because someone "accepts" another group, for whatever reason, that you have to label that person "open-minded" (which is being used as a pejorative) against someone who does not stay in the fold and hold to the "Group-Think" of a particular issue.
Let us say that the Bible says that if a person wears two forms of cloth and they are to be stoned to death. The Bible does say that you should not wear Wool and Linen. Yet people today wear clothes that are usually Cotton and Linen, yet no one bats an eye at it and justifies it because it falls under some form of law that we do not need to "follow". Yet, some arbitrary "sin" such as homosexuality, automatically becomes the "devil's sin", while others fall completely to the wayside. Yet, everyone here would be violating Deut. 22:11 by wearing mixed clothes. But if we decided to make that the "devil's sin" of the American Culture, everyone who wears mixed clothes would be considered in "sin" and that everyone who supports them would be considered an "open-minded Heretic" and you all would be a "closed-minded Bigot".
Here is the point, the issue, whether it be homosexuality or mixed clothes it is a cultural issue and in America, it is an American-Christian culture issue, that picks and chooses what Bible verses they want to enforce so they can control the narrative of what Christian culture should be that it should be against American Culture. If it was appropriate someone would have picked up this verse and applied it to American Christianity if they believed that the American Culture was too "corrupted" and they had to enforce this verse to "separate" Christians from the American Culture.
Why did the Homosexual verse get picked up and others dropped off? It was a response to American Culture. American Christians have done this with various other issues. Creationism=Evolution, Biblicalism=German Liberalism, American Eschatology (Pre-trib/Rapture/Tribulation beliefs)=Civil War/Civil unrest of the 1850's to 1890's. Homosexuality was no different, it was a defensive response.
Why does the Bible say that only men cannot sleep with other men? If one were to read very carefully, you will find no prohibition against women to sleep with other women. This brings up a very good point as to why this issue is in the Bible.
The Hebrew/Jewish Culture was patriarchial, there were two strands of Cast: Men on top and Women on the bottom of the cast. There is an old saying out of the Talmud that says "Thank God I was not born a Woman" and with it, are I am not a Gentile and I am not a Slave. These three castes were looked down by the High Jewish Culture, Luke 18:11 gives a similar prayer, but it is about adulterers, Tax Collectors, Robbers, and Evildoers.
What does this have to do with Men sleeping with men? In Jewish Culture, if two men were to sleep with each other, one of the men would have to become a "woman" in the relationship. Which would be the highest insult within the culture, A man being called or associated as a woman. There is a second reason for this and that is that all men are equal caste. Which means there is no up or downward movement within the Jewish Caste System. So there would also be a Caste stigma. I will demonstrate this.
In the ANE (Ancient Near East) what we classify as Homosexuality was on paper, "illegal" but was allowed culturally and usually culturally regulated as to what is "allowed" and not. In Roman Culture, an upper-caste man is allowed to have a "sex slave" or a child or teenage boy, as long as the man is not equal to his status or the boy or teen is not of the age of a man. A famous story is between Julius Ceaser and his Nephew Octavian, both men are equal status, but when Octavian was a boy, he has no such protection, but when he came of age, the relationship had to stop, because, it would dishonor the status of Octavian. But if Ceaser wanted another person, it would have to be from a lower class and in each case, the upper-class individual was the "dominant" partner.
Why is there no prohibition with women sleeping with women? If one was a woman in the Jewish Culture, there was no "down" for them, they were at the bottom. Also, a man was allowed to marry more than one woman and that would mean that two women in the same marriage to the same man would be "allowed" to have relations with each other (and it was allowed only through marriage), (there are no prohibitions on this within the law, other than a man cannot marry two sisters, and that would violate the incest laws).
Why do I say all of this, very simple, most Christians have no idea why something is allowed and something is not. What we call homosexuality did not exist 3500 years ago. In fact, it did not exist as a word until 1868 and it was coined in America, and it fits very well with the other American-Christian Culture Theology of Creationism (post-1860's), Biblicalism (1880), and Eschatology (1850's-1900's), all three of these came up around the same time.
I am showing the history as to why this is a "thing" today and why people are wanting off this train. Many Christians, myself included, are tired of the Christian Culture War and everything they have fought for they have lost and lost handsomely. You are not defending the "original" intent of the Bible, you are defending a Defensive-Cultural-Theology from 150 years ago, that as of now, America has decided to make legal. And insulting Christians who do not agree with you, is not going to win them back, it is only going to grow the divide even more.
This is my defense as to why I do not support this issue. There is no basis for it, at all. If anyone is interested in reading up on this issue I would recommend the book "The Bible Now" by Richard Elliot Friedman, he goes through the homosexual issue and he lays out all the arguments that have been garnered to support as to why people still hold on to it, but he also argues as to why it was an issue for the Hebrew People of that time period, he lays out the cultural understanding of it and it is not what you think, much of what I argued is based off his argument.