The difference between being outraged at atrocities in Westerner countries vs Islamic countries is simply because we expect more from our own society.
LGBT get murdered in America quite frequently as well by extreme right Christians (including JW). There are not many reports on those because neither Christians in Bumfuck, Arizona and Islamists in Sand Country are going to change their ways.
But at least we can try to fix issues in the more intelligent parts of our countries where such behavior and believes are no longer acceptable.
In Europe, religion was almost eradicated before the recent Islamic Invasion, people haven't found LGBT persecution to be acceptable at all there for decades. The resurgence in both Islamic and Christian ideology regards capital punishment go hand in hand (one drives the other) and are quite shocking to regular, intelligent Europeans, hence the reporting.