It depends on the nature of the psionics you want, right? The one you present is very mechanically interesting but not really tied to the fiction.
What about making it play with Discern Realities? Like so:
Prescient - when you Discern Realities, you can always ask "what is about to happen?" without it counting against your questions. Even on a miss, you can still ask that question.
For the other types of psionics, how about...
Telekinetic - when you move something through force of will, take 1d4 damage (ignores armor) and roll +???. On a 7-9, pick one. On a 10+, pick two.
- You can move it quickly
- You can move it precisely
- It can be heavier than you could move with your body
- You don't take damage after all
Telepath - when you speak to another with your mind, they hear you as if you spoke aloud and can reply in kind.
Biofeedback - when you will your body to conform to your vision of itself, roll +Cha (???). On a hit, choose one from the list below. On a 7-9, the process is taxing and you take -1 forward.
-Purge your body of poison, toxin, disease, or curse
-Sustain itself as though you had consumed a ration
-Heal yourself of 1d4 damage
-Make your body impervious to the elements, but you take -1 ongoing until you stop
I'm sure you could make more.
Do you want everyone to pick a "wild talent" move at 0-level? If so, you could use the concept of a compendium class to let people delve further into a specific discipline, with more potent/dedicated moves. So if you picked "telepath" as your 1st-level wild talent, you could take more dedicated telepathy moves later on (but not telekinesis moves).
Also, you could make a full-fledged class that had all the wild talents and access to all the compendium class moves. Maybe.