There all voting for Trump

Probably none. How is that relevant though? If the discussion is about the development of a country, your point be appropriate but it isn't. Muslim countries like a a lot of places in Asia, South America and Africa are simply not developed enough as in the people are not educated and poverty is a massive problem. This directly leads to lower standards of living and of course, levels of tolerance towards women, gays, ... and so on. When the West was not as developed as it is today, the same attitudes existed. Now the question is why did the West develop and those other places didn't. This will lead to a very complex discussion where a lot of theories have been presented. One thing for sure though is that that colonization and war interference from America and its allies over there did not help and one can argue, is a significant factor in keeping these places economically backward.

Obviously it is not the only reason, as no big issue such as that one can ever be justified by one reason. The interesting thing however is when you notice how many parts of the world, where war, poverty, crime, ... are common practice, the people seem to be sick of being lectured on morals and freedom of speech and so on by the very same people who are selling their governments guns and weapons that keep them in that cycle of horror. Of course the average Western citizen is not invested enough or interested to understand any of these issues and most people judge the world by their immediate surrounding. That doesn't make it right though, what is happening now is the result of years and years of governments and by that I mean literally all of them contributing directly in creating a chain of sequence that has contributed to keeping large parts of the world under developed. This has meant less education, more religious leanings, ... and therefore more likely to not be as enlightened. This doesn't make you or I better people, it makes us lucky to have been born in a nice place despite having done nothing to actually deserve it.

The great nations have always acted like gangsters, and the small nations like prostitutes.

Except... America is one of the most egregiously religious countries on the planet right now (an anomaly to most western secular states) so your argument is immediately flawed.

America is a Jesus-heavy landscape yet it still embraced pluralism and freedom. It acknowledged that its beliefs should not necessarily determine the choices of others (even if they find those choices repugnant).

Britain in the mid 19th century was profoundly religious yet when Darwin presented his work, he was not burned at the stake -- the reaction to his ideas was mostly rational and courteous.

Print a book today of similar atheistic leanings in a Muslim country (even one of the putative progressive ones) and let's see what happens.

Saying that they're poor doesn't work; saying that they're backwards doesn't work. The explanation for the difference is one of culture and belief. If you continue to teach an idea that's just plain bad... no amount of prosperity or social advancement will steer you away from its influence.