It will take time, at least three to four years to fix this team. Unfortunately, there aren't a lot of answers in the minor leagues for a pitching staff that is in shambles. In 2005, the Twins drafted Garza, Slowey, Duensing and Burnett. That was a great draft...two very good starters, a marginal starter who will likely become a solid bullpen arm and an intriguing bullpen arm that needs to take that last step. Yes, two very good starters which included Slowey before his wrist injury. He hasn't been that same since!
In 2006 and 2007, they went young...high school position players at the top. In 2008, Carlos Gutierrez was coming off surgery and Shooter Hunt was a mistake. In 2009 they took three college pitchers, Gibson, Bashore, and Bullock. Two of three have had major surgeries and they are hopeful that Gibson can return. In 2010, Alex Wimmers also has been dealing with an injury/problems since being drafted. Yes, scouts can't foresee injuries. But in some of these cases they could have as the player had a history of injury.
The bottom line is that since 2005 they have taken six pitchers between the first and second rounds and haven't had an inning pitched by any of them on the field at the Dome or Target Field. The only value they have gotten is that Bullock brought them Scott Diamond in a trade. I know you will disagree, but I believe there is some truth to the comment I once told you about that a wise friend once told me, a comment about the changes in their scouting/drafting responsibilites.