The air force (imo) doesn't even like fighter jets that much.
They have them, don't get me wrong, but they also have the major transport planes (C-130's etc), B-52 bombers (with a revolving cruise missiles) and their space wing watches over both the ICBM's and the Delta/Titan/Atlas.
Ground support? (We'll drop a load of bombs (or anything else) on the target).