There is a vast difference in the immigrant and refugee acceptance in those two parts of the world. It has both cultural and economical grounds.
EU and friends (Turkey included, edit: to lesser extent, but still here: Lebanon and Jordan): most of the society's wealth comes from people working and creating products and services. The fact is recognized at both cultural and policy level for centuries. Most of those countries (except probably Turkey) are demographically unsustainable. OTOH, religion (of any kind) is generally seen more of a noise rather than a big deal. The numerous previous migration waves caused few problems and a lot of benefits. Result: new people are generally welcome. Well, there can always be problems here and there, esp. with the first-gen migrants coming in big numbers. The problems are either solved or lived with until the second generation takes over.
Rich middle-east countries: wealth is way less (no matter what rich people there say and do), a significant part comes from few sources (oil and likes) and is distributed from top to bottom. Societies have gross inequality and are kept stable at rather high (both social and monetary) price. People are seen as receivers (and not generators) of wealth at both cultural and policy level. Even minor religious differences are considered important - again both at cultural and policy level. People coming from outside are recognized as invaders and dealt accordingly.