Being an old school gamer i have played every more or less prominent game of 1990-1999
I have an idea about soldiers gone berserk. It is inspired by old Kings Bounty strategy game.
Units could go berserk there and start attack everything. Along with this disadvantage their stats were encreased. That was reasanoble to teleport your berserk unit to a group of enemies.
I propose to add extra action points, and strength to berseking soldiers.
Have you heared stories about people in the great stress are getting extra power? Pilots in madness breaking parachute straps that are impossible to break for ordinary men etc.
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If you expand this idea it is possible to set berserk unit to attack only aliens + strange subjects (like a Rambo in a groove) while Panicing Berserc attacking everyone