I'm Jewish, and I'm marrying a Greek Orthodox guy. We've discussed various ways of including both of our faiths, and have found a few rabbis that are willing to officiate or co-officiate our wedding. At first, we were talking about just trying to incorporate some Greek elements into the wedding without having an actual priest, but finding out that the priest runs the entire ceremony, we were unsure of what we could do. We've also been told Orthodox priests are usually unwilling to co-officiate anyway (though we haven't decided officially whether to have one even if we could find one willing).
We're going to talk more w/ the rabbis we have found, but were interested in hearing if anyone else had experience and what they decided to do.