No, DS9 is Bajoran. Usually the Bajoran government leaves it up to Sisko to run it in Federation fashion, but there are several times that he has been overruled by the Bajoran government when they feel strongly about something. The magistrate is Bajoran.
The station economy seems to be a hybrid. People pay the merchants along the promenade for what they get, but since the machinery is maintained by O'Brien and the station engineering crews they have low overhead. You can probably get as much turkey loaf and salad at the replomat as you want for no charge, but if you want nonreplicated gagh and a bottle of Chateau Picard I'm sure you need to pay for it somehow.
Even on Earth, I'm sure everyone has a good enough apartment, possibly in a tower. But if you want a mansion overlooking the surf, well, there's not enough beachfront property for everyone and somehow they need to resolve who gets it. Call it money or call it luxury credits. I doubt if it's entirely inheritance.