The tour at AK is the SunRISE Safari and as you say it is available only to Concierge guests. It takes place very early in the morning and includes breakfast. The SunSET Safari (real name: Wanyama Safari) takes place on the AKL/AKV grounds at 4pm and is available to any guest, but costs less if you are a Concierge guest. It includes dinner at Jiko.
We did both safaris. The Sunrise Safari follows AK's Kilimanjaro Safari route but at a slower pace and with a guide who provides a lot of information about the animals. The tour really starts when you board the bus that takes you from AKL to AK: the bus enters the AK park through a backstage area and you pass by some of the animal care facilities along the way. Your guide will give you information about how they care for the animals and answer any questions you have. The tour ends with a buffet breakfast. The tour is offered two mornings a week (Sun and Thurs?) and you must be staying concierge the night before one of those days, though I've read that some people have been able to sign up if they are checking into concierge on Sun or Thu.
The problem for DVCers is that AKV has very few Concierge rooms: five 2BR lockoffs total, so a maximum of 10 rooms if every one of those lockoffs was split up and rented as a studio and 1BR. In many cases those rooms book up 11 months out but some people have managed to book concierge 7 months out, depending on travel dates. Since you are just over 4 months from your travel dates, the odds of getting a concierge room at this late date are slim but it never hurts to try. Give MS a call and see if there is any availability. If it's fully booked you can ask to be put on the waiting list.
Also, in case you aren't aware, the AKV Concierge rooms are on the 6th floor and face either the Sunset Savanna or the pool area. You can request a savanna view but it is not guaranteed. The savanna view from the concierge rooms is not great -- those rooms face a small alcove of the Sunset Savanna and you are up so high that the tree tops block a lot of the view.
