My passport does not have any Israeli stamps. Wondering if I would be allowed into Dubai?

You should not have any problems. If you are from the US religion is not on your passport.

Considering the fact that UAE/Dubai and Israel have business dealings with one another - doubt it.

We've been to Dubai, my husband has a distinctly jewish surname and absolutely no problem. My passport also has Israeli stamps (I was secretly thinking of Plan B if I didn't get admitted) but they didn't even bat an eyelid (though surely they noticed them).

Yes. How would they know that you are Jewish? Unlike Saudi Arabia, the UAE does not require a visa nor an application that requests information on religion. When I applied for my Saudi visa, I was told that it would be rejected if I indicated Jewish, so I told them I was pre-Christian (and it worked).

thanks

"pre-Christian "

Love it!!