I began writing this before I saw <PERSON>'s answer; I apologize for the overlap.
At first, I found it difficult to imagine Dexterity having anything to do with Organization. In my personal experience, I've observed that disorganized people just don't find the present time or present space very interesting. They can have far reaching, creative visions about the future however, as well as rich hypothetical past chains of events—and I would even say they are in a way more dextrous because they prefer not to commit to ideas (which pluck them out of the hypothetical and put them in the "present") and can flexibly switch foundations as needed.
So, I wondered, what dimensions akin to Impact and Dexterity would I associate with Organization? Definitely keeping in mind that you may not want to add a third dimension, but it helps me to go down this route anyway. I imagined words like: Steadfastness, Resolve, Honor, Loyalty, Guardian, Defense.
But okay, suppose it's not practical to add a third dimension. Then it's a little tougher, but I can think of 2 ways.
1. Refocusing what Dexterity means in your world. 140
You can continue to call it Dexterity, but in your storytelling keep reinforcing it with the notion of deftness (edit: ha, exactly like @Ash's "efficiency") and similar. I think doing so would nudge your readers / participants to think of the word Dexterity in the acting context that you yourself seem to imagine, rather than the thinking context where some would find Organization a questionable effect.
2. Refocusing what is important to Organize in your world. The other direction would be to emphasize domains where Dexterity does help Organization, while shying away from contexts where that isn't so clear cut, thereby, just as above, forging the arc of meaning you desire. For example, shying away from mundane office desk jobs where dextrous minds typically aren't likely to succeed, and instead talking about, say, an on-site director of the construction of a makeshift emergency tunnel: requirements are constantly changing, there are so many unknowns, yet this person is deftly recalculating supply and demand, reassigning human resources, and making it happen!
In summary, going by (popular) type theories but also my personal experiences, Dexterity isn't a word that evokes Organization in my mind. But you absolutely can convince your audience using compelling examples. You only need the audience to believe in the portion of your world that matters to your story. 140