Just to go back & cover the 2 other Red Sox wins during this stretch...
'12 Giants: 10.1, 4.6, 4.5, 2.4, 2.1, 1.9
'11 Cards: 5.9, 4.7, 4.4, 3.9, 2.3, 2.3
'10 Giants: 6.3, 5.7, 4.0, 2.8, 2.7, 2.4
'09 Yankees: 6.7, 5.2, 4.1, 3.7, 3.6, 3.0
'08 Phillies: 8.2, 5.1, 5.0, 4.3, 2.8, 2.4
'07 Red Sox: 6.3, 4.5, 4.4, 4.1, 3.7, 2.6
'06 Cards: 8.1, 5.5, 2.3, 1.7, 1.5, 1.3
'05 White Sox: 3.8, 3.8, 3.3, 2.2, 2.2, 1.9
'04 Red Sox: 4.3, 4.2, 4.1, 3.4, 3.3, 1.5
So overall, 13 of the last 18 champions have had a 6+ WAR hitter, but the Red Sox alone have won 2 World Series during this timeframe without a 5+ WAR hitter.