I've never used a psion "class"/career path and don't know the details of the Zhodani (just the general idea that they're psionically-oriented humans with mechanical options for starting with psionics). Your objection to teleporting squads of commandos seems sensible to me!
Zhodani are human. They have an interstellar state just starting to develop TL15 as of IY1100...
Their society is a noble dominated meritocratic state.
3 castes: Nobles, Intendants, Proles, and an implied 4th: the insane.
Nobles and intendents are always trained in psionics.
Proles are never trained per se, but children who test particularly strong are moved to the intendent caste and fostered. This is the only caste movement for proles.
Intendants can be rewarded with noble titles.
Their society is based upon honesty and (when needed) psychic surgery to permanently alter one away from criminal tendencies. Voluntary adjustment is allowed, for example if one has a habitual pattern of forgetting something needed for work, one can voluntarily go to the Thought Police and ask for a tweak.
Career training is often chosen with assistance of mind reading in order to maximize ability to benefit society while being happy and successful.
Noble dwellings and workplaces use psionic only switches; military officers of the intendant class often have their secure systems rigged for psionic activation.
Proles are raised to expect the Thought Police to show up when they're in emotional distress. Anyone who is emotional crisis is expected to seek out the TP, as well... almost all go willingly. The TP can command a wide variety of solutions, from helping one to enjoy one's extant job through assigning one to retrain in another job.
The economy is essentially eurosocialist. Proles own and run most businesses.
All Zho characters generate the 6 basic atts and Psi.
Soc 2-9 are proles. Anything which would result in Soc 1 is also likely to be considered insanity...
Soc 10 are intendants.
Soc 11-15 are nobles.
If soc is 10+ &/or PSR is 9+, character is trained in psionics.
Even if they have no other abilities, those trained can use flicking to trigger psionic switches.
The Thought Police are all intendant or noble. All of them have telepathy.
The Zhodani Marines have an intendant/noble arm of Teleport Marines. All of whom are Soc 10+, and have teleport. Every platoon will have a telepath and a telepereceptionist... the lucky ones have a guy with all three...