Your examples, Blyleven and Morris, were both acquired prior to "having a competitive team." Morris was signed to a team that finished in last place. You can't wait until you have a competitive team to "fill the holes" you need to fill to become a competitive team. Acquire the players needed to compete. That's how you become competitive. Hopefully, there are just about enough position players in place to get there, so fix the pitching. Now. If you are saying the Twins don't currently have the position players to compete, you are in effect saying Sano, Buxton, Kepler, Polanco, et al are busts.