You can change your face on deploy menu. You can use all vanilla faces and all faces from mods that add them (like ToH ReCharacters). You can also search the entire list.
The face is synchronized with other players. The face is preserved between servers where this mod is presented (sorry, only for PC, because console can't write files).

Also GM can add Faces Wardrobe prop to world and player will be able to change their faces there during the game.
GM also can change face of all units and players (for players - face is not saved unless the player saves it manually). 

Known issues: 
- rarely: if face didn't applied when spawn, try to respawning or set it via wardrobe

P.S. I have discovered "Identity & Character Selector" mod by Instant Muffin only after release v0.0.4, so the code is uniq, and i didn't see how I&CS works, but you can also check this mod too

Change Your Face

This mod adds ability to change and save your face during respawn

Change Your Face

1.0.1

1.0.0

0.0.4

0.0.3

0.0.2

0.0.1