A) There's nothing wrong with using psionics as is. Street Magic has a good definition on the flavour of Psionics as another branch of magic. As far as Shadowrun is concerned, it can be just another form of awakened talent. Is there really any need for it to work using different mechanics?
B) Adepts can certainly pump up non-combat, thinking type powers. With the 4e adept powers like Multi-tasking, 3d Memory, Improved Technical skill (Computer?), the 'physical' adept can instead be built to be a mental powerhouse...