If a Jinn asked me what wish I would like to be granted - I would ask that historical amnesia be erased from all peoples. Alon Levy does a great job reminding us of how other immigrants were viewed by Americans.
A couple of grafs to whet your appetite:
Islam and Christianity are so similar that they are almost, but not quite, the same religion. They're both monotheistic, with all the cultural implications this carries. They both have a progressive view of the world, in which good works and proselytization will create an increasingly better world. Their eschatologies are remarkably similar. Overall, Islam is hardly different from Protestant Christianity. It's entirely by accident that right now Muslim regions are more conservative and anti-democratic than Christian regions. Abstractly, there is nothing that prevents what is commonly called the West from eventually expanding as far south as the Sahara desert and as far east as Iran or even Pakistan and considering Islam as one of its two main religions. Just like there used to be a clearly defined Catholic West and a Protestant West, it makes sense to talk of a Christian West and a Muslim West.
More concretely, it's instructive to compare Muslims to Jews. When Jews started immigrating to the US from Eastern Europe en masse, they were significantly more conservative than Christians on most issues, including all of those that anti-Islamic Westerners consider now in their assessment of Islam. They were almost invariably ultra-Orthodox; secular European Jews typically accepted Zionism and emigrated to Israel or tried to assimilate into the surrounding mainstream culture. If the practices of ultra-Orthodox Jews in Israel today are any indication, these immigrants were insular, stayed in enclaves like Brooklyn Heights and Williamsburg, had birth rates that would put today's Arabs to shame, and treated women with about the same level of respect as Mormon polygamist sects. As late as 1963, Betty Friedan considered Jewish-Americans and Italian-Americans as examples of groups that were more patriarchal than mainstream America in The Feminine Mystique.