Is she an arab muslim?

Nah but she may have smoked a few

Israeli.

She is an israeli jew.
http://www.thefrisky.com/2013-12-05/gal-gadot-5-things-to-know-about-hollywoods-new-wonder-woman/

About her heritage, she says “I definitely have a strong sense of my Jewish and Israeli identity. I did my two year military service, I was brought up in a very Jewish, Israeli family environment, so of course my heritage is very important to me. I want people to have a good impression of Israel. I don’t feel like I’m an ambassador for my country, but I do talk about Israel a lot — I enjoy telling people about where I come from and my religion.”

Aside from being an attractive and successful actress in two franchises ("Fast and Furious" and the DC Films) Gal Gadot fought in the Israeli army as well. This known fact about her was actually referenced in "Wonder Woman."

don't see a mustache, so....... no

Don't see a headscarf or burka adorned to her head, so no!