I second this suggestion. It's even *BETTER* if you schedule it for around 8am on a day when the park opens at 9am. You get in for breakfast before there are any real crowds *and* you'll probably finish breakfast before the park even opens.
We did this a few weeks ago. After leaving Tusker House we walked over to the safari and a CM asked us if we wanted to be the first family to go on the safari. Heck yeah! We got a private ride through KS and even had the benefit of taking it slower than usual because the Sunrise Safari trucks were still out and holding us up. Essentially we got to go on a Sunrise Safari without paying Sunrise Safari prices!
No guarantees that will happen for everyone (in fact, I can guarantee that it *won't* happen for *everyone*), but you can hedge your bets by scheduling Tusker House breakfast before park opens.