Which country is your MC from? Because "Arab" can cover anyone from Morocco to Iran and Iraq, and there's a HUGE difference between those cultures. "Arab culture" isn't monolithic, any more than European culture is monolithic, or American culture for that matter. If you're not careful and you don't focus your research, it's going to be blatantly obvious that you've just cherry-picked the coolest-sounding bits of a range of Arabic cultures and mixed them up. Pick a part of the Arab world and stick to it.
Most Arabs don't live "in the desert" - they live in large cities in the desert, usually in houses with
very good air conditioning, what with the whole "being in the desert" thing. Point is, the desert is a harsh environment to live in and I've never yet heard an Arab go "Gosh, I really miss the seering, deadly heat and the endless, perilous dunes of the desert. This mild climate is just too
pleasant." As IRU says, there's no reason that Arabs would be drawn to deserts in the US just because they grew up in a desert country; that's making the assumption that people (i.e. Arabs) can't adapt to a different climate or living conditions and would, like mindless herd animals or migratory birds, be drawn inexorably towards a familiar environment. This is silly. Arabs in the US and UK live where they can get a job and no one is racist towards them.
"Arabic terms" (language) is going to be tricky, given that Arabic has several different dialects. Do you mean Fus-ha Arabic, Moroccan Arabic, Algerian Arabic, Egyptian Arabic?
Also, not all Arabs are Muslims and not all Muslims are Arabs. Don't conflate the two because it's a dead giveaway that you're unfamiliar with the culture and that part of the world. There are many, many countries that are Muslim but not Arab (if you're looking for wacky superstitions, try Pakistan sometime...)
Arabs (even diaspora Arabs) often have very different political attitudes to Westerners. More so if they actually live in the Middle East or the Maghreb. They generally don't have a very high opinion of America, for a start. Also, Arabs don't necessarily like each other (Saudi doesn't like Iran; Kuwait doesn't like Iraq) and there can be tension between Sunni and Shia Arabs. Oh, and almost everyone thinks Saudi Arabia is CRAZY.
You'll need to research
Madhabs as well if you plan to write anything about Muslims. Pro tip: Salafis think everyone else is Doing It Wrong, and Arabs are often very derisory about the Hanafi madhab because it's a South Asian school of thought. Arabs can be pretty arrogant when it comes to non-Arab Muslims (South Asians and Africans in Saudi often suffer a lot of racism).
This is a great idea for a story and mixing up UF with some other cultural influences is a great idea. But you need to be careful, as others have said. There is no such thing as "Arabic Culture" - at least not as a homogenous entity. And Arabic Culture isn't the same as Islamic Culture (although there is some overlap). In short: "Arabic Culture" is HUGE, covering everything from food and clothes to family life and politics. You're going to need a LOT of research to get it right.
It can be done though. Just be careful how you do it, and good luck!