@JPB,
And what sorts of types would you recruit. Not individuals. The names may change but how will you vary the types in this situation. A bureaucratic process has a life of its own. It forces people into roles.
It's called "going native".
"POP HOP JOE NAMED HEAD OF RE-VAMPED NSA!" headlines are no good JP.
You might scrap it altogether and go back to the C.I.A. The desire to create new departments is always strong in ambitious leaders for obvious reasons. It extends their patronage.
The trouble is that if the C.I.A. was still in charge, and the two-bit wannabee spies had been left washing up in diners, the President might worry that they were up his arse all day long without him ever being any the wiser.
A 2-tier system implies that there are differences between levels.
I don't know but I presume working for the C.I.A. carries a higher
cachet than working for the new outfit. Those recruitment trawls at universities might well allow the C.I.A. to be fussy. All other temptations being equal
cachet might be important.