Injuries play a key roll in playoff success. The Wild haven't been a healthy team the last three years come playoff time. The two years prior to that they enjoyed a decent playoff run. Like it or not Zach Parise has been the major factor for the team's success and failures. Without a healthy Parise in the playoffs, the Wild have exited quickly. If you look at any of those teams that have won the Cup in the last decade, remove their star player's contributions and there is no-way their respective teams win a cup.
To win a cup these days a team needs a healthy line-up, they need speed, size, and scoring from all 4 lines. And let us not forget the defense needs to block a lot of shots and superior goaltending.