Sorry but I disagree. I think he will leave. He is putting all that he has worked for on the line by waiting this long, he simply wouldn't do that if he wasn't seriously thinking about a fresh challenge. Its looking more like a natural end to things by the hour.
He has nowhere to go.
Moyes is a career man, he's not going to leave Everton if it means sitting on a beach for a while or going to an inferior job.
He'll stay.