But it is the timeing that fits into the Islamists agenda

Precisely. And the West just keeps on doing all the heavy lifting for the extremists, providing them with endless opportunities for recruitment.

The answer is for the West to stop pursuing it's imperialist agendas in the Middle East (and stop the slaughter of civilians in its pursuit of those agendas). That's the only thing that will take the air out of the extremists' methods. Every single other thing that the West does simply assists the extremists in their efforts, and makes their job a lot easier.