The Twins have won 4 in a row and they still have the worst record in baseball. They're 12.5 games out, which is tied for the most of any team. Still, you can never count the Twins out because they usually find a way to get back in the race (in 2009, they were 7 games out on September 7th and still won the division).
The Twins have been besieged by injuries, especially Joe Mauer, who has not played since April 12th. Mauer is on his way back, though, and is rehabbing in the minors right now. Can they make it back from 12.5 games? It will be extremely tough, but I don't think fans in Cleveland, Detroit or Chicago will feel very good if the Twins are only 7 or 8 games out at the All-Star break.