@Red Leg I do not dispute much of your statements but I do think you missed a few nuances. Islam is in worse shape than you describe.
Islam DID have a reformation. With the Persian influence in the middle ages, factions did see an enlightened view of the Quran. Jihad became a spiritual war against self. The Sufis pushed a benevolent form of Islam that was able to transform a violent book into a higher, spiritual interpretation. (e.g. just as Jews have done with the Torah and Tanakh)
The problem was these passive, enlightened, scientific, and spiritual Muslims were exterminated. They had the reformation, it failed.
The other problem with Islam is the belief of Abrogation is a doctrinal understanding of 98%+ of all Muslims on the planet. What that means is that half of the Quran is invalid, Allah changed his mind a lot, and the peaceful and inspiring passages were abrogated by the more violent subsequent passages written in the Medina period. The average person reads the Quran and assumes it is all valid where in fact it is not. The anecdote of Mohammad praying for the sick Jewish children adjacent to his home in all directions was replaced by the passage where the trees cry out that a Jew is hiding behind them and must be killed.
For that reason, Islam is in a dire situation and cannot overcome the combined and unified thinking of all four schools of thought in the Sunni Muslim tradition.
How *Could* Islam be fixed? If the majority of Muslims preached with an exegetical lens like Christians and Jews interpret their scriptures, you would find the context in the moment that explains the moral principles in context and that all passages could be true rather than conflicting. It would result in a reformation and the capacity for a benevolent, non-violent religion.
The problem with unravelling this abomination is that there is also a tradition in Islam that we cannot critique the Prophet's companions. The companions did many misdeeds and could arguably have misinterpreted Mohammad's messages in the Quran. The Hadith and Islamic jurisprudence disagrees back to the first century after Mohammad. Literally, you'd have to unravel all of these errant traditions and go to a "sola scriptura" approach to Islam as happened in Protestant Christianity.
It'll never happen, the peaceful and philosophical Muslims have been murdered. Hard line doctrine has infected most of the major schools of thought. The future is bleak.