This mod removes the CWdialoguesoldiers01 and CWdialoguesoldiers02 from the game, while keeping player dialogue with soldiers intact. These are the dialogues that take place at random, most commonly at Imperial and Stormcloak military camps, between two Imperial Soldier NPCs or two Stormcloak Soldier NPCs.

The dialogues are transcribed as follows:

CWDialogueSoldiers01:
[Action 1]
I'm still sore where I took that arrow. I hate archers.
This Imperial armor is damn heavy.
I'm sick of waiting. When are we going to see some action?
Hope I don't draw guard duty.
I bet we have rabbit again. I'm getting sick of rabbit.
We're running out of bread. I hope the supplies get here soon.

[Action 2]
Aw, quit your bellyaching.
Yeah, I know what you mean.
It's not that bad.
You'd rather be plowing a field? Not me.
Go tell the commander. I'm sure the boot in your arse will take your mind off your troubles.
You must be all right if you've got time to complain.

CWDialogueSoldiers02:
[Action 1]
So why'd you join up with the Legion?
How'd you end up here?
So, why'd you join the Stormcloaks?
What are your thoughts on all this?
So what's your story?

[Action 2]
My father was a Legionnaire, and his...
I signed on 'cause I couldn't watch the...
I know it's what everyone says, "To go...
My cousin disappeared one night.
I don't want some snotty elf telling me...
I'm a true Nord. Simple as that.

Player-initiated dialogue with soldiers ("Stay alert;" "Keep an eye out for Stormcloak spies;" etc.) is NOT deleted by this mod.

Installation:

Use NMM. It does all the work. If you want to install manually, just place the .esp in your skyrim/data file and activate it in the launcher.