Vlad,
As a munitions guy, tankers were never much interest to me. BUT, I know enough to say that "AF-boom, Navy-probe and drogue" is a little bit oversimplification. As an example, the KC-135s could be reconfigured to support Naval (including USMC) aircraft when necessary. Each wing with tankers assigned--I was assigned to two of those, 19th Bomb Wing and 43rd Bomb Wing--had several sets of the drogue equipment and about once a month we had to reconfigure a couple of the tankers to support some requirement. There was no Navy refueler with the fuel quantity transfer capability of the KC-135s, so the USAF was required to support certain long haul and multiple aircraft missions. Also, some of the USAF MC-130s had a refueling capability that ONLY involved the drogue system. These refuelers and the helicopters they supported (e.g. HH-53 "Jolly Greens") were only assigned to the Special Operations units, including Air Recovery/Rescue units, if I recall correctly.