Of course... The biggest obstacle to this is the lack of effective UI to locate personnel with high morale etc. So... I have been doing some fiddling with the menu_playerinfo.lua, and managed to whip up something that looks somewhat promising - with the caveat of not being quite sure how this would behave when you have a huge late-stage empire down the lines with thousands and thousands of personnel. Main "issue" is that morale stat is not as readily accessible as the combined skill (also yikes on that whole API for getting the info out into Lua). All of this was done on 8.00.HF4 (maybe something has improved in 9.00 - haven't checked).
So... Did I miss some existing mod that already implemented something similar or should I try to clean this up a bit and post it over on Github? Here is a quick screenshot (the colourful bar is me trying to figure out how the heck to align the buttons etc correctly):

I am kinda pondering if I could find something in-game that is similar to the rendered stars to represent morale to make it stand out a tad more with those two columns side-by-side, but making the morale column duller has been good enough (tm) so far.
P.S.
As a side-note, the game sorts by combined skill first, and then by name - not morale - by default. Managed to "fix" that one as well along the way.
P.S.S.
The Color["chatuser_1"] through Color["chatuser_17"] have been super-useful for this.

