Majority of these migrants embrace dodgy doctrine

If that were so the acceptance of these migrants and refugees would be a simpler matter of logistics and resources. But this is not so, as the great majority are Muslim who embrace a doctrine that denies freedom of conscience and freedom of speech.
It should be remembered that there was far greater support for the jihad/terrorists of Charlie Hebdo and the Danish cartoonists in Muslim societies in Europe than there were for their victims.