They won't. Too many have the fatalistic inshallah view whereby everything just happens because it is God's will. An example of this: I heard an Iranian scientist interviewed who was alarmed about the lax building codes in his country. He was upset over all the people who died in earthquakes because the buildings were not made to modern standards. He said he kept approaching officials, saying that modern, earthquake-resistant buildings could save thousands of lives. The officials didn't comprehend what he was saying. The officials told him that if a lot of people died in an earthquake, then it was God's will and no one can question it or do anything about it.
Now picture that same attitude in an Eurabia that has inherited nuclear reactors. Probably a large part of Europe will go Islamic. It is questionable that this population will be able to support itself in the long run if they cannot maintain modern industry and agriculture. Just using my imagination, and I have no special insight, I can imagine 200 years from now an Eurabia in crisis being invaded by the Chinese or Africans. Who knows? Maybe the Africans will re-introduce Christianity to Europe. Enough wild speculation.
As islam rises around the world, the collective IQ of humanity sinks.