1. Determine how to do an incremental update, given that only the tail of the stream of updated documents is missing. Not as simple as just counting.
2. Determine when you must give up and fall back to a full sync; this is when not just the tail is missing, and finding the difference is computationally non-trivial. You'll only want to do this once you're sure that you need to.
My point remains that ElasticSearch's consistency model means it's hard to even do #1, which is the day-to-day streaming updates.
My second point was that this — streaming a "non-lossy" database as a change log into one or more "lossy" ones — is such a common operation that it should be a solved problem. It certainly requires something more than a queue.
(In my experience, queues are terrible at this. One problem is that it's hard to express different priorities this way. If you have a batch job that touches 1 million database rows, you don't want these to fill your "real-time" queue with pending indexing operations. Using multiple queues leaves you open to odd inconsistencies when updates are applied out of order. And so on. Polling triggered by notifications tends to be better.)