Well, technically, it is possible to have static LH's. This is a method.
MAKE A
MOD
This is what you must do.
Copy all the LH folders from Civ IV, Warlords, and BTS into one folder (but keep the files in their own folder), italicized means make a new folder. Bolded is where you put all the edited files.
My Games/BTS/MODS
/____(mod name)/Assets/Art/Leaderheads
NOW,
go into every single little LH folder and remove the:
_____(leadername)idle_*______(attitude)
files and keep any .dds files, ___(leadername).nif and ___(leadername)NOSHADER.nif, ____(leadername).kfm, and _____(leadername)BG.nif/kf.
the only thing you should remove in the
MOD(don't mod the epic game) are the animation files that I mensioned earlier:
_____(leadername)idle_*______(attitude) (.kf)
NOTHING ELSE. And the LH's should appear animated, but not moving.
[EDIT] It really is simple, but I don't want any of you guys to screw up your game.

I could upload one, but only if someone here requests it.