Incredibly easy. Nuke (neutron bomb preferably) the arab world and most of the islamikazis die. The living ones will be easy enough to shoot in the dark by their glow.
We have the technology to harvest the resources under radioactive conditions. We might as well solve the problem.
Of course we need to saturate their airwaves with the gospel for a week or two before so that they'll have a chnace to repent before the big bang hits.
God Save America (Please)