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I see the Kinectist as one of several potential no-spell casters; just cantrips and powers.
Basic blast and kensis abilities are cantrips, easy enough to stat out. Actual wild talents and the results of some of the infusions are powers; yes, that will require a reworking/rebalancing instead directly porting things. Burn is a way to regain focus points once your pool is dry, but as you dip for more points the cost increases.
Also add in a condition related to burn that makes it so you can't use focus points on anything but Kinectist powers; since the new point of burn is you use it only when the focus pool is dry, you can't use it to fuel some other multiclasses powers when the focus pool is in the red while still allowing some tactical choice between the Kenectist powers and another source of powers while the focus pool is in the black.
Ultimately it wouldn't replicate the mechanics of the Kinectist, but it would replicate the feel and flavor of them pretty well. Which is the more important thing.