It is a small sample size, but teams (other than the Yankees) with a 195+ run differential have been very successful in the playoffs since 2002. The Red Sox pummelled the Rays for a 2nd straight game and appear all but certain to advance onto the next round.
If they make it to the next round, their opponent will be much more evenly matched in run differential than the Rays (+54). The Tigers are +172 and the A's are +142. With recent history as a guide, teams with an overwhelming run differential tend to win in the LCS (2004 Cardinals and 2007 Red Sox went 7 games).