No.
In essence, i admit to actually checking out the stats position-by-position.
You're trying to use UZR as a counter-argument, but you obviously don't know why simply using the cumulative numbers doesn't work for the argument, because the Red Sox had top eight players at several key positions (1B, RF, 2B ) and UZR doesn't account for catcher, which was an obvious position of weakness for the Red Sox last season, but i'll assume you already knew this, and know how UZR works:
Postion-by-position breakdown:
P: 29 out of 30.
1B: 2 out of 30.
2B: 7 out of 30
SS: 12 out of 30 (Thank you Alex Gonzales)
3B: 29 out of 30.
RF: 8 out of 30
CF: 30 out of 30
LF: 25 out of 30.
If you'll notice, the team consistently had three awful defenders at any given time, excluding the catcher, one of the team's biggest weaknesses, which UZR doesn't address (i'll assume you knew this) but were carried by excellence at 1B, RF and 2B.
You need to know the importance of position-by-position breakdown instead of using the cumulative number for a formula you probably know very little about.
Oh and about the top seven teams not making the playoffs? Number one, it's a lie, because the Rockies made the playoffs. Number two, the other six were flawed teams that either had no pitching, no hitting, or both (in the Royal's case).
You're a smart guy, you can make a better argument than this one.