Especially with Carpenter hurt, the 2004 Red Sox were pretty clearly one of the Top 2 teams in the entire league that year - they knocked off the other Top 2 team. Hell, there is a pretty good case the 2004 Red Sox were the best team of the 21st century to date.
In 2007 the Sox swept Anaheim, came from 3-1 down to pick off Cleveland. Again in the ALCS, you basically had the major's two best teams - the Sox knocked out the other Top 2 team. You would have picked the Red Sox to beat Colorado in virtually any context (home, away, in a house, with a mouse, in a boat, with a goat, here or there, anywhere)
Colorado went on a crazy 20-2 stretch to make the playoffs - but the Sox were always the better side.
The Sox were a freight train both times - but they did not catch fire per se - they were the best team in those cases. (and in 2013 too where they knocked off the 2nd best team in the World Series)