A inter galactic civilization is at war with a less advanced civilization, but one with a highly unusual number of super individual. Not only was the invasion of their system unsuccessful, but soon after an infiltration unit managed to steal several ships and FTL technology. The galactic civilization is now reorganizing its security to prevent a second breach based on the last successful breach: they know they have to defend against 3 types of super-powered infiltrators.
Psychics. Capable of causing hallucinations that make whoever sees/hear them (or someone accompanying them) perceive them as someone who belongs where ever they are. The effects works through cameras but has a limited range of around a mile. (Give or take a little bit depending on the power of the psychic.) This doesn't work on non sentient creatures. Also able to read minds.
Shape shifters: Capable of changing their shape and DNA, unable to change their mass.
Illusionists: capable of manipulating light to make illusions or turn things invisible.
What measure could an advanced civilization take to prevent more infiltrations?