According to this FanGraphs article, the Twins improved their chances of making the postseason more than any other team at the trade deadline (+7.4%):
Which Teams Improved the Most at the Trade Deadline?
Of course, that's due to a few factors:
the Twins additions
the lack of additions for Cleveland and Chicago (who saw the second and third largest playoff odds declines, respectively)
starting with a pessimistic projection for the Twins, so we had more room to improve it (Fangraphs still has the Twins projected to narrowly finish 2nd -- no respect! )
The article also includes odds of winning the World Series, and the Twins didn't move that needle much -- just +0.2%. The Padres were the only big gainer there (+3.5%), as you might imagine.
What do you think? Do you expect a photo finish in the division? Do you think we'll go in as a wild card instead?