The question of how and why ideas, 'culture', religions, new scientific hypotheses, etc. are transmitted and compete with one another is really a very long standing one. A lot of the historical study emphasizes 'elite' culture and theory(mostly because everything else was oral record only, and that doesn't keep well; but written works sometimes survive) or religious(high frequency of literacy, and proselytizing is a technology of considerable interest to contemporary religions); but there is also study of popular culture, folk mythologies, what the middle and lower classes were reading and watching(once that became common), and so on.
Cultural transmission is a very solid social science topic, and internet memes have the dual virtues of both potentially being novel(they might actually follow some traditional propagation pattern, might be something new, either way would be interesting to know) and being amenable to large-scale analysis because the internet is just so conveniently searchable and heavily cached in various places. You don't have to like the entire field; but this research project seems like a perfectly reasonable exercise.