Wise had no impact on this, his presence may have but he didn't offer himself the job and it wouldnt have mattered whether it was him or Gianfranco Zola as DOF.
Wise and Keegan are equally to blame - they both knew what Ashley wanted to do (no matter whether we think it was a good or bad system) and it could have worked - but they were both interested in squabbling over who was in charge of who opposed to working together.
People will tell me Wise is a pain in the arse to work with, but Keegan is too seemingly, the man threw his toys out of the pram in the past and he did it again. Ashley is more to blame for appointing the pair of them, but what they did heavily contributed to our downfall also.