I'd hate Unsy to be given it if only for the fear he might not do well and ruin his promising reputation.
Whoever the next guy is I feel he does need to 'get' Everton. Moyes did and got cut a lot of slack for it. Martinez only lasted as long as he did as he looked as if he genuinely loved his job and the club. We're not a London club with a diverse fanbase, we're not a corporate club with a large amount of plastic fans like the shite and Man U, we're still in the main a pretty working class club with fans who reflect those values.
I know there are plenty of examples of managers at clubs who don't profess their love and do very well but Evertonians are a weird bunch and if we can relate to the man and can see he's doing and saying things we agree with then we give them more of a chance.