I think you are missing the point. In this discussion about stats, we aren't trying to confirm our opinions about the players, rather we are trying to confirm our evaluations of the stats as value measures themselves. You can certainly see the value in wanting lean heavier on stats that place the players in a ranking that coincides with our opinions, right? Extending that point forward, our opinions are not infallible, so once we've determined a level of trust with a measure, we can use it to help us correct any bias (which is never completely removed from human opinion) that may occur in our evaluaitons. This is the point of using stats for player evaluation.
If you would, and in an attempt to extend the point into an example, please list your Top 10 active offensive players over whatever timeframe you like (2011 season, last 3 years, career, etc). I'll put a chart together that lists the Top 10 (of qualified players) in the following measures: Linear Weights, WAR (batting only), VORP, OPS, OBP, SLG, BA, RBI. Please indicate actual rank (1,2,3,4,etc), and not just the top 10.
EDIT: Actually, on second thought, using career/composite numbers will be messy. Make your list the Top 10 offensive players from the 2011 season.