I'm sure someone will correct me if I'm wrong, but didn't Horner only get the job at Red Bull after Tony Purnell and David Pitchforth were sacked for disagreeing with Dietrich Mateschitz over driver selection? Mateschitz also fell out with Peter Sauber (and withdrew sponsorship) over Kimi's selection, didn't he?
Wasn't it Mateschitz who convinced Newey to join the team?
So Red Bull provides the cash, Adrian Newey is responsible for Red Bull Technology (600 staff, design and build the cars), Marko takes care of driver selection and management (with the final nod from Mateschitz), which leaves Horner to look after the race operations (about 55 staff), and provide the media face for the team.
Sure I must be missing something, there's bound to be more to it than that, but how does this qualify him to run F1?