It was nice knowin' ya Joe.

Don't be quite so sure just yet.
He managed the Yankees to within 2 wins of the best record in baseball with multiple injuries, and his "ace" Chien-Ming Wang lost 2 games in Round 1 with an ERA of 19.00
It's hard to blame that on Joe.
At this point it's about 50-50.
He does not deserve to be let go. By the way, there is no way to fire him. His contract is up. He simply wouldn't be offered a new deal. A technicality for sure, but he can't be "fired".
The Yanks lost this series because they were unlucky, not because of managerial mistakes. They hit almost as well as Cleveland, except Cleveland hit about .500 with RISP, and the Yankees' hits came with nobody on base. It's baseball, it happens. No matter who the manager is, the Yankees still come into next year the favorite to win the World Series.