Dear Mary
Shalom and Salam Alikoum
I Don't see any problem in that at all. I'm a Muslim and from Oman and worked with some Jewish back in Oman and now here in UAE. few of my work Mates mentioned on their work paper they are Jewish there was no problem at all.
Welcome to Arabiya... well at least to the UAE or specially Oman where they don't give monkeys even if you are an Alien.
Cheers..
Going to have some Beer now with a Jewish Bloke..