Why not just say American PLO/Hamas Arab Muslim Nazi? Fakestinian is bad enough but using hyphenated "politically correct" terms makes it worse. She's an American Jordanian. Her parents are from Jordan. Or just call her an American Arab. Hyphenating is "politically correct" garbage. Also, why even say American? If someone is working for the US Government, we know they're American. American this and American that is just being overly "politically correct".
I don't really feel you in this case. Jewish-American or Dutch-American makes sense. The only thing that sounds super weird is Canadian-American because it's basically the same thing if you know both people, there it's a clear cut issue of loyalty, Jim Carry is Canadian but Justin Beiber is Canadian as an insult mostly even though they have more connection to America than probably most Fraudestinian-Americans.
There is no Palestine so he can be a Narnia-American. It's like saying you're a Pays Basque-American (region in France that is kinda Spanish kinda their own thing and want to be independent), as a way to promote the legitimacy of a revolution (which involves genocide in every case in Islam, and a slower and more insidious one for nations that surrender) or a Elijah Mohammed spaceship inhabitant-American because it's promoting the Islamic religious doctrine that lands taken with murder and theft by muslims always belong to Islam. That's the only issue here. Giving creedence to a Soviet invention that is simply an antisemetic meme that communicates to readers that Israel belongs to Arabs and Jews have to right to be home. It's not like a hypenated last name, freeking chung lee the thai chi teacher's not gonna be like "herro I'm Ameriwcan" or everyone's gonna laugh, he's Japanese, but he knows how to live in America for the last 30 years and doesn't feel Japanese like the rest when he visits there, so he's a Japanese-American on paper, Japanese to typical Americans and American to people in Japan. It sounds complicated but unlike politically correct crap, it's very intuitive and based on what's useful to communicate quickly in statistics. There are Japanese in America that are not Americans and there are Japanese-Americans. What exactly do you want written in endless data files that makes you happy, if you have a shorter one?