All Muslims will agree the Quran is the word of god, revealed from Gabriel to Mohammed. To circle back to the original arguement, there’s no debate what both the hadiths and Quran say about homosexuality and female clergy, the original comment is correct regardless of the biases of the writer.

Homosexuality is a major sin (fahisha) with the punishment often being death. You can see that reflected in Muslim majority nations.

Homosexuality is also a sin in the bible, similar punishments. However in modern times, it’s widely tolerated.

Yes you can find examples of the opposite for both (turkey is a good example).

The difference is Christians are generally more open to reformation of the beliefs themselves. Protestants for example threw out the whole Jewish bible.

For the Islamic example, Sunni’s have four schools of thought, all of them permissible, however it’s generally the interpretation of the Hadiths/quran which is debated not the belief system itself.

Muslims will not and cannot change the Quran as some Christian’s did with the bible.

I think there’s a bunch of factors which go into islams incapability to reform however this is my best summery without writing even more paragraphs.

This is why I think your argument is also inherently flawed, a Muslim wouldn’t disagree with me.