This mod already works fine with LWOTC, but by default the infiltration bonus doesn't work. It's designed for the Covert Infiltration mod. So I went digging through LWOTC's config and found the following entries in XComLW_InfiltrationSettings.ini :

+EquipmentCovertness=(Itemname="ChameleonSuit", CovertnessValue=0f, CovertnessWeight=0.75f)
+EquipmentCovertness=(Itemname="FreeKillUpgrade_Bsc", CovertnessValue=0f, CovertnessWeight=0.30f)
+EquipmentCovertness=(Itemname="FreeKillUpgrade_Adv", CovertnessValue=0f, CovertnessWeight=0.525f)
+EquipmentCovertness=(Itemname="FreeKillUpgrade_Sup", CovertnessValue=0f, CovertnessWeight=0.75f)

So while I don't know how to tell how those bonuses work, that appears to be the infiltration bonuses for the Cameleon Suit and Basic/Advanced/Superior Suppressors that are built into LWOTC. So I added the following for this mod to that file:

;----------------------------------------------------
;--------- Disguises --------------------------------
;----------------------------------------------------

+EquipmentCovertness=(Itemname="CivilianDisguise", CovertnessValue=0f, CovertnessWeight=0.30f)
+EquipmentCovertness=(Itemname="AdventDisguise", CovertnessValue=0f, CovertnessWeight=0.525f)
+EquipmentCovertness=(Itemname="HolographicDisguise", CovertnessValue=0f, CovertnessWeight=0.75f)

Tested it, and sure enough now Disguises give an infiltration bonus compared to Kevlar in LWOTC that should match what you get from suppressors.

Hero classes don't seem to be able to wear them but the other LWOTC classes can.