You may have identified Islam’s fatal flaw. Hatred begets hatred, and they wallow in it.
I wish it was fatal but there are so many of the little buggers that it would take a disaster of Biblical proportion to finish them off. In the meantime, they slit each others throats, eventually they will come for ours. All we can do now is encourage them to keep killing themselves for a few thousand years. I am actually banking on the Chinese to finish Islam off in another 80 years or so.