I've had an idea about this.
A new set of gear labeled Police Gear.
It would be used in missions where the enemies are expected to be civilians, such as Crop Circles, Cattle Mutilation, and League Apprehension/Node.
It would include regular pistols, SMGs, shotguns, and rifles, believably human healing devices, and human-tech sources of Smoke and Chryssalid Gas.
For armor, any armor that can be directly bought in the early-mid game, plus Bulletproof Coat and Heavy Tactical Suit.
Reasoning is, that you are fighting civilians, so the excess force and explosives shouldn't be required. And should you somehow misplace some of your equipment, it should not be anything that points to extraterrestrials.