Sounds interesting. Do you think there's scope to turn into a a warband-v-warband game? Instead of having player 'Unit' v DM, what if there were two players, each with a 'Unit' (warband), and the DM stuff was abstracted away to dice rolls? Does that seem like it might be doable from the rules (I'm not asking you to do it, just for an idea of the feasibility of such an approach).
Where there is a will.......
But not easily I think. Never Going Home (NGH) needs someone willing to run the game as a lot of the encounters are informational rather than combative. Its roots as an RPG rely on being able to construct a narrative thread that the players interact with but which is not dependent on their actions (nor on any specific character surviving from one session to the next).
Not all "NGH" games result in combat, apart from almost inevitable encounters with, what in D&D terms would be, wandering monsters. Enemy patrols and positions in most cases.
For warband vs warband putting a Never Going Home skin onto the mechanisms of something like Grimlite/The Doomed would be easier. You could play the 2 units as distinct scout patrols from the same regiment competing for renown against horrors taken from the NGH bestiary (although you could use a lot of Grimlite horrors as written).
I use Grimlite as an example as I am familiar with it and could see a way to make it work as you want. But as Weird WW1 seems to be the cool thing currently maybe one of the newer rulesets may work better (Trench Hammer, The Last War or Trench Crusade).