Can two circuits with dual function breakers share a box?
It's the neutrals you need to firewall



GFCI and DFCI devices simply do not care about ground.  (Note how a GFCI breaker has no ground connection -- it has line-hot, line-neutral, load-hot, and load-neutral, and that's all!)  In fact, one could pull two hots and two neutrals through an EMT conduit to a metal box, thus having a single ground path all the way from the panel to the box, and have this wiring setup work, provided the receptacle box is wired correctly.

And in that, I mean that each DFCI needs to supply both its own hot and its own neutral to its corresponding receptacle, with no cross-connections between hots or neutrals; if you get this wrong, you'll get unwanted tripping due to wayward neutral current bypassing the DFCI that it originally ran through to get to its corresponding appliance.  This is because GFCI protection relies on the First Rule of Electricity; namely, that current flows in closed loops.  As a result, if the current going out on the hot wire doesn't match the current coming back on the neutral wire, that current has to be going somewhere else, and the GFCI assumes that "somewhere else" is you and kills the power to save your bacon.

So, once you have two independent hot/neutral pairs as well as a grounding path to the box (this can be done as 12AWG wires in a conduit, as a single 12/2/2 cable, or as two independent 12/2 cables), you can wire this all up in a single 1-gang box of sufficient size (18 in&sup3; minimum).  You simply need to use a regular NEMA 5-20T duplex receptacle, preferably specification grade, and break both tabs off (i.e. not just the tab/fin on the hot side, but the one on the neutral side as well).  As a result, you'll have two independent 20A receptacles on the same mounting yoke -- each receptacle is connected to its corresponding pair of brass and silver screws, but not to the other receptacle or the other receptacle's terminal screws.

From there, it's just a matter making sure that your first hot/neutral pair goes to the terminal screws for the top receptacle and your second hot/neutral pair goes to the terminal screws for the bottom receptacle.  If you mix the wires up at this point, once again, you'll get reminded when your DFCIs trip on you as soon as you put a load on the circuit, for the same reason as before.