I have had queries from some readers wanting to know that since there are not cordial diplomatic relations between Saudi Arabia and Israel, whether those who practice the Jewish faith are in fact allowed into the Kingdom. I will share based on what I personally know. To begin with, when one completes a visa application to come to the Kingdom, one must designate (among other things) nationality, place of birth and religion. You may ask, why does one have to identify their religion on a visa application? This is due to the fact that only muslims are allowed into the holy cities of Makkah and Medina so as a result, ones visa (and subsequent iqama if applicable) will indicate whether one is a muslim or non-muslim.
In general, if one cites Jewish as their religion but not born in Israel or from Israel, then it is likely the visa will be granted. However the odds of a visa being denied increase if one was born in Israel. I am personally not aware of anyone who is a Jew and from Israel being granted a visa to enter the Kingdom.