There is no 'mystery' to the American media's love of Islam. It is the same reason so many politicians support and revere Islam while they denigrate Christianity and Judaism.
The answer is very simple. It's all about money. The Muslim nations have enough petrodollars to practically fund many Universities and Schools of all kinds. And they certainly have enough money to buy as many politicians and Judges as they want to. This vast, virtually endless, supply of money has given them access to and has allowed them to infiltrate the American media as well.
Leftists are known for having no values, no integrity, no patriotism at all. Therefore, they will always gravitate to the highest bidder, regardless of naive ideas such as truth or honesty.
There is no mystery here. It is all about money. If the Muslims were the poor, starving, primitive savages they were in the 50s, they would have no influence at all. One of the worst, most consequential decisions ever made in history was when Western nations decided to turn over all their oil wells to the native countries. That is the most significant factor in the rise of Islam and Islamic terrorism.