I'll start with the batting averages of all my position players:
(Through 82 games)
Pee Wee Reese .419 (31 AB)
Willie Keeler .415
David Wright .333 (15 AB)
John Olerud .301
Roy Campanella .299
Cal Ripken Jr. .284
Tris Speaker .280
Christian Yelich .269
Jackie Robinson .269
Edgardo Alfonzo .261
Al Kaline .250
Gary Carter .247 (PT)
Willie Mays .246
Al Rosen .244
Ty Cobb .219
Keith Hernandez .215
Carlton Fisk .164 (PT)
Willie McCovey .148 (27 AB)
Yogi Berra (1/7)
8th in the league in BA as a team (.271)
I have to go address Cobb's issues.