I like their rotation, but I wouldn't bet on them making it through the whole season. Not just the Yankees, but any pitching staff. I expect a Sabathia rebound, but not at his peak levels.
You can't seriously call Soriano and Ichiro quality depth. Ichiro was awful last year, and Soriano is a 38 year old DH, with no OBP skills. In the chance he has to play LF, he's a big step down from Gardner. Also, who would take the DH AB's since Soriano would be pushed into LF?
The Yankees had a negative RD last year. They weren't a legitimate 85 win team. They played more like a sub .500 team. They upgraded in CF, and C, but they took a massive step back at 2B. Losing Cano negates a lot of the value they brought in with McCann and Ellsbury. I also think you're ignoring the defensive liabilities that Jeter and Beltran are, and are too optimistic in projecting rebound years from players coming off injury. Age is never mentioned in your post. Jeter is 40, Beltran is 36, Teixeira will be 34, and Soriano is 38. The rest of that team isn't exactly young either. Injuries and performance decline is a huge risk for this team, and they don't have the depth to sustain multiple injuries.