When you look at where players on the Twins current roster were drafted it gives you a pretty good idea of what to expect from players drafted in the second day of the draft. The Twins roster has 15 players taken in the top 200 (12 of them in the top 100) and 6 taken during the remainder of the draft. The rest of the roster is made up of players who were signed as free agents, including Mike Redmond who fell through the entire draft. Even among the top 100 the vast majority of players never appear in the major leagues, but after that the odds after 200 are literally less than one in a hundred if the Twins' roster is representative.
Now in minors or released: