Running the club is the chair's job, not that of the squad's manager. He doesn't run Spurs, Levy does.
Much of rest of your post is nonsense. He's improved Spurs by:
(a) being part of the decisions to sign Alli, Son, Alderweireld, Davies, Dier, Trippier, Sanchez, Moura, Foyth, Gazzaniga and others
(b) by coaching big improvement in virtually every player in the squad
(c) giving young players a good chance
(d) ruthlessly getting rid of the dead wood (Adebayor, Paulinho, Fazio, Lennon, Sigurdsson, Dawson, Sandro, Livermore, Gomes and many others);
(e) having a defined style of football and drilling this deep into the squad;
(f) by instilling huge self-belief in the players and establishing a strong team spirit.
You say he "has no experience in dealing with bringing in top class players", but you confuse top class with "expensive" ... because several of his signings are top class players.