Again, if you don't knwo about Win Shares, Google it. That said, Here are a few 2005 Dream Teams based on the Win Shares for the year.
AL Defensive Production
C, Joe Mauer, MIN
1B, Mark Teixeira, TEX
2B Orlando Hudson, TOR
3B Eric Chavez, OAK
SS, Juan Uribe, CHW
OF, Aaron Rowand, CHW
OF, Vernon Wells, TOR
OF, Grady Sizemore, CLE
NL Defensive Production
C, Mike Matheny, SFG
1B, Derek Lee, CHC
2B Craig Counsell, ARI
3B David Wright, NYM
SS, Rafael Furcal, ATL
OF Brady Clark, MIL
OF Carlos Beltran, NYM
OF Willy Taveras
AL Offensive Production
C, Victor Martinez, CLE
1B, Mark Teixeira, TEX
2B, Brian Roberts, BAL
3B, Alex Rodriguez, NYY
SS Michael Young, TEX
LF Manny Ramirez, BOS
CF, Johnny Damon, BOS
RF, Gary Sheffield, RF
DH, David Ortiz, BOS
NL Offensive Production
P, Jason Marquis, STL
C, Michael Barrett, CHC
1B, Albert Pujols, STL
2B, Jeff Kent, LAD
3B, Morgan Ensberg, HOU
SS, David Eckstein, STL
LF, Brian Giles, SDP
CF, Jason Bay, PIT
RF, Miguel Cabrera, FLA
AL All-Things-Considered
C, Joe Mauer, MIN
1B, Mark Teixeira, TEX
2B Brian Roberts, BAL
3B Alex Rodriguez, NYY
SS, Michael Young, TEX
LF Manny Ramirez, BOS
CF, Johnny Damon, BOS
RF, Gary Sheffield, RF
DH, David Ortiz, BOS
SP1, Mark Buehrle, CHW
SP2, Johan Santana, MIN
SP3, Jon Garland, CHW
SP4, Bartolo Colon, ANA
SP5, Jose Contreras, CHW
SU1, Scott Shields, ANA
SU2, Cliff Politte, CHW
CL, Mariano Rivera, NYY
AL All-Things-Considered
C, Mike Matheny, SFG
1B, Albert Pujols, STL
2B, Jeff Kent, LAD
3B, Morgan Ensberg, HOU
SS, David Eckstein, STL
LF, Brian Giles, SDP
CF, Jason Bay, PIT
RF, Miguel Cabrera, FLA
SP1, Dontrelle Willis, FLA
SP2, Roger Clemens, HOU
SP3, Andy Pettitte, HOU
SP4, Roy Oswalt, HOU
SP5, Brandon Webb, ARI
SU1, Scott Linebrink, SDP
SU2, Dan Wheeler, HOU
CL, Billy Wagner
Observations:
On defense, only two players from each team (Matheny and Lee in the NL and Chavez and Wells in the AL) have ever actually won Gold Gloves. Keep in mind that the Win Shares are a measure of the overall defensive contribution a player makes towards his team's wins in this particular year. It has noting to do with a players ability to dive for balls or make dazzling plays. None of the usual outfield candidates made this list, including Andruw Jones, Jim Edmonds, Steve Finley, Torii Hunter, Mike Cameron, or Mark Kotsay. This factor could be circumstantial, or maybe the WS system knows things that we just don't know and refuse to believe.
Both All-Offense teams were the same as the All-Things-Considered teams, except for catcher. Mark Teixeira is the only player to lead his league at his position in both offense and defense.
On the overall teams, 10 of the 14 pitchers from both teams were in the playoffs. The Astros and White Sox both had three starters and a set up man on the list. What's more for the White Sox is that Freddy Garcia was 6th in AL pitching win shares, just .1 behind Contreras. Only one hitter between both teams made the teams on the offensive end.