Hmm...I found a site that lets you put together a lineup based on your birthday - the players all share your birthday, in other words:

Pitcher - Gerry Arrigo
Catcher - Dave Skaggs
First - Ryan Klesko
Second - Keith Miller
Third - Felix Pagan
Shortstop - Jack Cusick
Left - Hideki Matsui
Center - David Buford
Right - Damon Hollins

Relief - Darrel Akerfelds, Jim Strickland

I guess that would be a National League Team, since I couldn't find a good enough DH anywhere.