Position Players vs Pitchers. Who would win?

Let's suppose you have a matchup between a team of all position players and a team of all pitchers. Who would win in a 7 game series.

Rules:

• No two way players allowed.
• Must be around league-average ERA+ pitchers vs average OPS+ hitters.
• Can use up to 26 players on each team.
• Neither team gets a DH.