From 2002-2006 when the Twins won the central 4 of 5 times they were not a power hitting team. They were usually middle of the road in AL in total HRs, and in 2006 they were 13 of 14 teams.
The Twins have historically been successful without hitting the long ball. They need span and revere to get on base consistently, advance with their speed and Mauer to hit .320 and Morneau to be the long ball hitter.