As far as I'm aware, you will be denied entry into the UAE if you have an Israeli passport or an Israeli stamp on your passport. Which is why, many of my colleagues need to issue separate passports for travels to IL only.
As for the religion Wandabug, I'm not really sure I understand your question clearly. But I'm sure there are Jewish people out here who do not publicise their religion. The UAE, like other Arab nations does not recognise the State of Israel. That being said, they are very tolerant of other religions as long as you go by the rules. So I would think being Jewish is ok, but being Israeli is not.