> So where are they?
There are two questions here, I think: are there a proportionately greater number of people in the world today with Shakespeare-level talent for language; and do those who exist now have the same chance of being recognized and lionized as Shakespeare did?
I don't know how we could answer the first question, but I assume it's roughly correct, just on faith in the statistical likelihood of the normal distribution of IQ/talent holding true. The second question maybe gives us some way to account for why we don't seem to see them, though. For one thing, people with that set of talents have a much wider set of fields to go into, now: in Shakespeare's time, people with literary talent could write poetry, or plays (or, as he did, both), and not much else. Today, both of those are sub-divided into lots of sub-genres, and prose fiction exists (and is also highly sub-divided), and prose non-fiction, and song-writing, and journalism, and writing for tv and movies, etc. We wouldn't expect to see every current Shakespeare working solely as a playwright: we should be looking across all the fields that need literary talent, if we want to accurately count today's Shakespeares.
And we need to consider whether a Shakespeare-level talent today has any reasonable chance of getting Shakespeare's level of recognition and admiration. There is so much more content today that any one person's output can't get nearly the attention and focus that the smaller world of Elizabethan England could give to Shakespeare. Achieving 'legendary' status probably depends less on absolute talent level than on how much one stands out from one's competitors - that's much harder to do in a larger, more sophisticated world. You would probably have to be significantly better than Shakespeare today to stand out as much as he did in his time.
Going back to the sciences, the situation is a little different because it probably is the case, as you suggested, that the field is finite and there will probably come a time when there is nothing significant for a new Newton to discover, and thereby be recognizable as a Newton-level mind. That's less the case for the arts - the working space there is much larger, possibly infinite. But the increasing sophistication and the growing number of fields to work in is the same in science as in literature, and so is the consequent dilution of attention and recognition. I'm not sure that conditions now allow us to reliably recognize our geniuses.