While I agree with your sentiment, you misidentified the players.
The FBI is more akin to the Soviet NKVD, not the KGB (neither of which, in any event, exists anymore...at least under those identities). Our CIA would be akin to the KGB.
Actually, the NKVD was "reformed" out of existence under Kruschev. In fairness to the FBI (or even Homeland Security) they are not (yet anyway) running large internment camps for political prisoners.
The KGB certainly was mainly in charge of counter-espionage and foreign intelligence operations (FBI and CIA, respectively), as well as border security (Customs/ICE), but we learned, upon the collapse of the Soviet Union, that the KGB had many "Directorates" whose job was specially to watch the Soviet Government, and Party, itself. To watch all members make sure no threats came from INSIDE the government and party itself - this is exactly what the DOJ/FBI do now.