They rewrote Genesis?
Same as - they “allegorize” anything they don’t agree with.
In so doing, they’ve put their own reason/authority over that of the word of God, and made themselves God. (Gen 3:4-5).
For instance, I’ve heard this explanation of Lott’s wife:
She was turned into a pillar, as in a “pillar of the community”, because she cared so much about the people of Sodom and Gomorrah that she couldn’t help but look back.
They do not rewrite Genesis, but resort to interpreting the Bible anyway necessary to escape the obvious.
An extensive examination and refutation of such attempts can be seen here: http://peacebyjesus.witnesstoday.org/Homosex_versus_the_Bible.html
Despite all their attempts to render the Bible as having no coherent sexual ethic, or as not condemning homosexual relations, and even sanctioning them the issue is really quite clear. As i tell them, from beginning to end marriage is sanctioned, and fornication is condemned. God is shown creating man and women uniquely compatible and complimentary, after having illustrated that nothing else would do for a help mate, and only joined them in marriage, opposite genders being specified by both Genesis and by Jesus Christ. (Gn. 2:18-24; Mt. 19:4)
In no place does the Bible sanction marriage between same genders, despite attempts to extrapolate it, and it only condemns homosexual relations - by design and decree, in principle and by precept - and the injunctions against them are part of the transcendent moral laws. (Lv. 18:22; Rm. 1:26,27) All homosexual relations are rendered fornication, and that of a most perverse kind.
The idea that either Moses or Paul were only condemning certain forms of homosexual activity based own motive or association with idolatry, while sanctioning “loving caring” homosexual relations is as untenable as supposing that bestiality or adultery was only forbidden within a certain context. Motive is never the determinative factor in laws against illicit sexual relations, while idolatry is the mother of all sins, more than just homosexual relations. (Rm. 1:28-32)
However, we (I) have all sinned, even sometimes trying to justify it by the Bible, sometimes even as Christians, and thus there is yet room at the cross for all who will turn to Christ, wanting Him over sin, and believe in Him with all their heart. (1Cor. 6:9-11)