...
Well, the problem is that you have two conflicting issues (regardless of client, system, monitor, or resolution) and that's:
1. An ever increasing amount of character information
vs
2. the desire for a compact presentation of said data.
Within the EC, I'd be able to play around with that window and maybe resize/reposition the various elements as shown in the OP, or Pinco may be able to take the LUA code to auto-resize the window based on the visible tab (right now, it's hard-set to the longest list of the various tab which is the Attack tab), but even with doing that, there's still so much data to provide that you have to come up with various tricks to make the two opposing forces work together.
Right now, in the EC, you have the basic character data (the top 2/3rds of the window) and then the Equipment data in the tabbed window in the bottom 1/3rd. If you took all 11 tabs and showed the whole thing as a single window, it'd take up the entire screen even for HD resolution monitors, thus why it is grouped into tabs.
Another possibility for the display of the Character Sheet would be collapsible sections with a + and - button to expand and collapse each section so that you could focus on certain portions of the Character Sheet basically the way the 2d Skill Scroll gump does it or at least DID it, I haven't logged into 2d in so long I'm honestly not sure if they've changed that or not, but take that concept to the window itself.
In regards to the OP's layout, you'd have the Basic Data over on the left and the Equipment Data on the right and could make each section collapsible using the same groupings found in Pinco's version.
Anyway, this is me just brainstorming the concepts behind the idea (client neutral although I'd only be able to work the idea in the EC).
Frankly, the LACK of an expanded character sheet in 2d is an issue that SHOULD be resolved and should have been as part of the AOS expansion. It's also the reason I saw that a previous attempt to rebalance item mods about 6 years ago (Diminishing Returns vs Proficiencies for those that remember) ended up being doomed to failure.
Edit to Add: I kind of wish we had a vocal dev that was focused on the UI aspect of the game to bounce stuff like this off of (again regardless of client).