If I were it up to me, I'd select these stars to represent the American League. Starters are marked with an asterisk

Catcher
*Victor Martinez, Cleveland Indians
Jorge Posada, New York Yankees

First Base
*David Ortiz, Boston Red Sox
Justin Morneau, Minnesota Twins
Mark Teixeira, Texas Rangers

Second Base
*Brian Roberts, Baltimore Orioles
B.J. Upton, Tampa Bay Devil Rays

Third Base
*Alex Rodriguez, New York Yankees
Troy Glaus, Toronto Blue Jays

Shortstop
*Derek Jeter, New York Yankees
Carlos Guillen, Detroit Tigers

Outfield
*Magglio Ordonez, Chicago White Sox
*Vladimir Guerrero, Los Angeles Angels of Anaheim
*Grady Sizemore, Cleveland Indians
Ichiro Suzuki, Seattle Mariners
Curtis Granderson, Detroit Tigers
Torii Hunter, Minnesota Twins

Starting Pitchers
*Johan Santana, Minnesota Twins
Dan Haren, Oakland Athletics
Justin Verlander, Detroit Tigers
C.C. Sabathia, Cleveland Indians
John Lackey, Los Angeles Angels of Anaheim
Kelvim Escobar, Los Angeles Angels of Anaheim
Erik Bedard, Baltimore Orioles
Daisuke Matsuzaka, Boston Red Sox
Gil Meche, Kansas City Royals 

Bullpen
J.J. Putz, Seattle Mariners
Jonathan Papelbon, Boston Red Sox
Pat Neshek, Minnesota Twins
Hideki Okajima, Boston Red Sox
Eric Gagne, Texas Rangers

I have 31 players listed here with Mark Teixeira, Eric Gagne, Troy Glaus, and Gil Meche having been added due to the 1 player per team rule (Gagne is Teixeira's injury replacement). (Yes, I think Alex Rodriguez has outpaced his fellow third basemen so much that I didn't select another player until I needed a Blue Jay.)

Guys on My All-Star Team that Aren't Going to San Francisco
1B Mark Teixeira
2B B.J. Upton
3B Troy Glaus
OF Curtis Granderson
SP Kelvim Escobar
SP Erik Bedard
SP Daisuke Matsuzaka
RP Pat Neshek
RP Hideki Okajima
RP Eric Gagne

None of these guys have that strong of a case to be All-Stars that we should be complaining about them being excluded from the mid-season exhibition.

 All-Star Starters that Aren't on My Team
C Ivan Rodriguez and 2B Placido Polanco

No, I'm not picking on the Tigers, but how does Ivan Rodriguez belong as the AL starting catcher? He is terrible at getting on base. By Value Over Replacement Player (VORP), Pudge ranks 9th among AL catchers, mostly due to his .293 OBP. There's quite a few AL catchers with batting averages higher than Rodriguez's OBP.

Final Vote
With three of my team's players up for selection in the final vote, I have to go with the starting pitcher, Kelvim Escobar. He has more of a major league track record than either Hideki Okajima or Pat Neshek, and starting pitchers just have a much greater effect on their own teams than relief pitchers.