I'm trying to find more information pertaining to this particular question, but have been unable to get what I was looking for just yet. My question is thus -- Is the mod "http://oblivion.nexusmods.com/mods/31773" in any way incompatible with, or known to cause conflicts with the mod "http://oblivion.nexusmods.com/mods/40761"?

Totally different concepts that conflict with each other. Pick one.

Same applies to Dark Brotherhood Chronicles.