No it doesn't. The FISA court is a civilian body, the DNI is a civilian position, and the DNI serves at the pleasure of the civilian President. Not only that, but the FISA process isn't emergent from Article III of the Constitution, but is rather an instrument of Congress which can be reformed entirely by civilian legislative acts by representatives directly elected by the population. There is no truth to the idea that NSA lacks civilian oversight.

The point you want to be making is about transparency, and about general citizen oversight. The distinction is extremely important; for instance, random citizens of the US have no direct oversight over military operations, never have, and never will. If you make the argument about civilian oversight, you've already lost, because the intelligence system does in fact have civilian oversight; it's just not the oversight you want.