This is a quick and dirty, back of the envelope, attempt to find which teams in baseball history had a lot of good hitters and pitchers in the same season.
First, I took this list:
From 1901 to 2011, teams with 10+ batters where OPS+>=100 and they had at least 80 PA.
Then, I cross-referenced it, via eye-ball, with this list:
From 1901 to 2011, teams with 9+ pitchers where ERA+>=100 and they had at least 40 IP
And, I got the following teams to make both lists:
Those last two teams surprised me. And, it suggests that this is not the best way to slice this pie.
Still, it would be fun to see the ’42 Cards and the ’98 Yankees match up in a best of seven and see what happens…