Jeff,
I love 8 ball strategy but I don't think you'll be able to apply any specific piece of knowledge from chess into 8 ball. Although there are many metaphorical connections between the strategies of two games.
Steve Lipsky's connection is most impressive.
I'd also add that in chess, the pawn structure of your pieces is decisive... Because pawns have a lower degree of mobility compared to other pieces, pawn structures change very slowly, and, sometimes, they maintain their characteristic and set the tempo of an entire game (although usually those games are either one-sided or a boring draw for reasons too lengthy to describe here). HOWEVER (and this is my point), pawn chains/structures can be upset with what's called "ruptures", moves that break the whole pawn structure at its base (the one pawn that supports the whole chain). In 8 ball strategic battles, there are sometimes similar situations where a swap in the position of certain key balls, or a cluster-break (rupture) determine the outcome of the game. Secondly, certain pawns are a liability (e.g., isolated, doubled pawns, etc.) much like problem balls...
But, again, I don't think we'll be able to go beyond the academic in the comparison of the two games. No one will play better 8 ball simply from learning chess.
For the record, 8 ball is MUCH more strategically akin to chess than One Pocket. Simply because you got two different armies vying for positional superiority. One Pocket seems to me closer to the Asian game of GO.