I think tacit knowledge would just come from experience. So as long as you play a lot of games while studying openings/tactics/strategy etc, you should get the best of both worlds.
Tacit chess knowledge
Yes, but there must be a mental framework for chess. For instance, here is something along the lines I am looking for. See Yaroslavl's first reply in this thread:
http://www.chess.com/forum/view/game-analysis/what-the-was-he-playing-and-how-did-he-win?page=1
He talks about the 3 advantages in chess, and methods of exploiting an advantage in space. This seems very valuable in the big picture. I know the work required to be able to use this kind of knowledge OTB requires studying many master games, but surely someone has fleshed out these elements. Sure there is material, time, and space, but are there more? And how do things like initiative fit?

I suppose it's much like learning any complex skill. At first, when playing games or analysing positions, you need to think about what you need to think about. With enough repetition the process becomes automatic.
You guys make Chess sound like it's a complex physics or math test.
Instead think of Winning Chess and Combination play like music with beautiful tempo flow and harmony all coming together like this.........
http://www.youtube.com/watch?v=8ptfyhBjXj8
Here is one way of breaking down chess knowledge: