Well historically, that can mostly be attributed to the Yankees, who had the most money and took advantage of the system in the pre-free agency days. Since free agency started in 1976, the record is 21-18 in favor of the AL. But 3 more WS wins is hardly enough to say the AL has been dominant.
Cubs reliever lifts a postseason jack. Obviously not something that happens every day, but good argument against the DH.
I looked up Wood's hitting stats after he did that. He can hit.
Not that it's related much, but it reminded me of when the Yankees used Rick Rhoden as DH.