I actually agree with most of what you said here. I believe that Islam does have some serious structural problems, along with many other religions. Muslim friends say that indeed the Quran is pretty transparently calling for non-muslim's death, and it seems to be seized upon readily as the raison d'être for many of these terrible groups.
As for the asian sex grooming, this is exactly this kind of thing that far right groups jump on. Suddenly it's muslim grooming gangs vs a group of men abusing children. Don't forget that within the Catholic church there has also been widespread abuse that's been covered up by the church. Somehow there isn't a pervasive implication that being Catholic means that you're more likely to be a child abuser. In case there was any doubt, yes grooming children for sex slavery is more despicable than whipping up hatred for an entire religion based on said abuse.
I believe the way to counter "lumping people together, generalizing and stereotyping" or othering is precisely to point out the flaws in logic and call it bigotry and hatred when you see it.