While it is an interesting TL, I wonder why exactly the United States of the late 19th century allows so many Turks and Arabs to immigrate considering laws like the Chinese Exclusion Act.
Also, I find it hard to believe that these people move to the cold West, where they would be unused to the climate and weather. I would think they would move to the Southwest, where more arid conditions prevail.
Lastly, what happens to all of the immigrants from countries such as Italy and Russia? You mentioned Canada, but conditions in the US were much more pleasant than those of Canada. In addition, what about immigrants from Eastern Europe. Where do they go? How do the immigrants get from the Middle-East to America? On Native lines or European lines?
I imagine the United States would be poorer in this timeline as the immigrants to the United States would have been poorer than in our own timeline. I also imagine there would have been massive immigration of Europeans to Africa, in lieu of America. South Africa, Algeria, and Libya might have substantial white minorities.
(I am aware that there was extensive Lebanese immigration to the United States around this era, although most Lebanese assimilated very quickly. For example, there were very many Lebanese families in the Mississippi Delta, but almost all were Christians, and anglicized their names.)