It sounds like you have a pretty balanced view of things.
I just hate to throw the baby out with the bathwater on things like this, as some on both sides of the 'old school' vs. 'stat geeks' discussions tend to do. The stat geeks have to realize, as you contend, that not everything is ultimately quantifiable all the time because baseball has a huge psychological element and happens situationally--not in a vacuum. And the old school has to realize that I don't have to have been a boxer to be able to put together data that shows that fighters that land a higher percentage of punches also knock out a higher percentage of opponents (or have to have been a shortstop to analyze video that shows that Brendan Ryan saves way more runs over time than Ryan Theriot does).
Anyway, it sounds like we're on the same page...forgive me for rambling. :)