When God created male and female He gave them both dominion by telling them equally to fill the earth and subdue it Genesis 1:27-28, and since being one in Jesus Christ means there is neither male nor female Gal. 3:28, both men and women are equal authoritative heirs according to the promise Gal. 3:29.
God refutes your view in Genesis 3:16, Peter in 1 Peter 3:1-7, and Paul in 1 Corinthians 11:2-15, Ephesians 5:22-33, Titus 2:3-5, and Colossians 3:18.
All things are lawful for me 1 Cor. 10:23 because the end of the commandment is love 1 Tim 1:5 and Davids love for Jonathan surpassed that of women 2 Samuel 1:26.
"All things are lawful for me,
but all things are not expedient: all things are lawful for me,
but all things edify not."- 1 Corinthians 10:23 [emphasis mine]
Leviticus 18:22 declares homosexuality an
abmoniation, and that's God talking direct. David is, as the bible declares, a man after God's heart. [Samuel 13:14, Acts 13:22] It would be rational to assume that he would not be a man after God's own heart if he delighted in abomination; moreover, the seven or so wives he had would point to him being pretty straight. There is no mention of homosexual conduct between David and Jonathan and it isn't reasonable to assume there was any. Moreover, the sins recorded of David would seem to show an honest account; if he had committed that sin, it ought to have been recorded, and if the intent was to clean up David why leave the story of Bathsheba?
God is the savior of all men, especially (not exclusively) of those who believe 1 Timothy 4:10, for when Gods judgments are in the earth, the inhabitants of the whole world will learn righteousness Isaiah 26:9, and God will be All in all 1 Cor. 15:28.
"And he that sat upon the throne said, Behold, I make all things new. And he said unto me, Write: for these words are true and faithful. And he said unto me, It is done. I am Alpha and Omega, the beginning and the end. I will give unto him that is athirst of the fountain of the water of life freely. He that overcometh shall inherit all things; and I will be his God, and he shall be my son. But the fearful, and unbelieving, and the abominable, and murderers, and whoremongers, and sorcerers, and idolaters, and all liars, shall have their part in the lake which burneth with fire and brimstone: which is the second death."- Revelations 21:5-8
1 Thessalonians 5:2-3, 2 Thessalonians 1:8-9, and Luke 19:11-27 also teach judgement and punishment:
"But those mine enemies, which would not that I should reign over them, bring hither, and slay them before me."- Luke 19:27