The issue is less the religion for there was a more progressive time in say Iran and Afghanistan that was utterly crushed by war and the UK and USA intervention in the democratic process of Iran led to the fucking state we have there today.
Afghanistan was also making progress, at one point was literally considered a safe place for LGBT of the past to go on holiday. However Russian and American proxy war fucked that place over with a terror ideological group growing out of it.
I mean America has set quite a few countries back. Look at Jamaica, at one point they too were more progressive but the leader wasn't exactly super American friendly and America was worried about the evil Cuban neighbors. So they interfered in the election which led to tons of corrupt leaders being elected instead and they incited what led to political warfare on the country's ground with hundreds dead.
The issue isn't the religion, the issues ties back quite easily to colonialism and western interference in democratic affairs. Else several countries would have been more progressive today.