IMHO, it's bad form to use the term "gene" as shorthand for "nucleic replicator".

Gene is, or should be a general biological term, as should genetics. Tying these concepts to one genetic medium - a-la molecular biology - would be short sighted, and would make it unnecessarily difficult to discuss pre-nucleic genetics.

So by all means distingish between cellular and cultural inheritance, but please don't do so by calling the former "genes" and the latter "memes" - and claiming that the concepts are mutually exclusive.