Regarding everyone else facing a problem because of their problem proving their Jewish credentials – convert. There are several rabbinic organizations in Israel who would do this with you at a very low cost, and their conversion is recognized by everyone. The only downside, other than injured pride, would be the fact that women converts won’t be able to marry a Cohen. What can I tell you, welcome to the Shulchan Aruch.
This would be so much better and simpler than jumping once again into revising the Law of Return, only to come out with a double-humped camel.