That being said, I think it's a risk because any depiction of Federation life might be very close to current reality and thereby undermine a lot of the utopia they currently only allude to. Una's recent trial, for example, very much felt like a contemporary courtroom drama.
What I would like to see is more screen time for non-Starfleet agencies. Bring on the Federation diplomatic corps or, as you say, the relationship between Starfleet and its civilian leadership.