I wonder about that -- there was a time when Islam was the protector of much of the ancient wisdom and then-modern science in the world. Now, not so much. There are more books translated into Spanish every week than there are into Arabic in a year. And women reading terrifies them. And don't even ask about their tolerance for LGBTQ+ issues! And that is in large measure a function of a religion.
It seems to me that many of the problems facing the Muslim world have more to do with current conditions (e.g., the economy, education, infrastructure, and political stability) than with religion per se. Generally, religions take the shape of the regions in which they exist, and Islam was able to take the shape of relatively prosperous and pro-scientific countries in the Islamic Golden Age. Likewise, Christianity has been able to take the shape of both less prosperous and very progressive countries. Humans shape religious interpretations and implementations after their own circumstances.
Also, a lot of Muslims have no problem with women's reading, nor is that forbidden or shunned in the vast majority of mainstream Islamic sects. On a more personal level, almost the entirety of the last two generations within my extended family (who are Muslims), whether male or female, are college graduates, and my family is not an anomaly among the middle class where I live.
Some, albeit a smaller number, have no issues with LGBT rights either—although views on LGBT people are indeed a major issue in need of reform among the mainstream sects of Islam. Still, this holds true for a lot of Christian denominations too, as you well know, not just Islamic sects. I don't see it as a problem exclusive to any religion.