It's not Cook's role to get the board in shape imo. It's the boards role...driven by the President...who need to sort themselves out.
I've heard numerous successful exec's speak over the years and they all state how it starts at the top (the board) and flows to the CEO and the exec layer.
Same at the Tiges with Peggy and Brendan. As it was when the Hawks were winning flags (it wasn't Kennet was it)
And the Cats when Cook and Costa took over.