As for Precognition, FATE is one system that actually handles it elegantly, through it’s use of aspects. Successful use of Precognition creates an aspect either on “the future” or on a character, which can be tagged in any roll for an action that makes whatever has been forseen more likely to occur.

I had that one come up in-game. One character tried to predict the future of a minor villain; the result was an aspect “He’s going to get what he deserves”. Which promptly gets tagged for a +2 bonus for an action doing something bad to him.

Precognition is a pain for GMs. I would not want any PC in a world I was running to have it.

I don’t like the way you are using the term “lightsculpt”.

Mental illusions should be in the mind, not created things you see with your eyes. Mind control can be used for invisibility, but this is not about not being seen, it is about not reacting to what is seen. For this reason a spell “Detect Invisibility” will not be any use against this mental ability as the spell’s caster must ignore the invisible person and that includes anything telling the non-observer that there is something to observe.

The projection of real images which can be seen even by people whose very existence is not even known to the caster is not a mind control power. Illusions are a different “school” of magic, which may or may not be possible in any given game world, and that includes insisibilty by camouflage. In this case the defence against invisibility is the same as that for all illusions. The ability to project illusions may be a mental power, but that power has to be projection, and the normal laws of physics apply thereafter.

I wonder if part of the problem here is insufficient common frame of reference. I haven’t read much Julian May and therefore I am thinking more about other forms of fiction. For example, “The Force” in Star Wars might be defined as a mental power.