The diff is indeed mounted to the subframe. The subframe is held in by two mounts forward and the differential aft.
If I were going to drop the entire subframe, I'd disconnect the driveshaft at the rear flex disc and remove the exhaust before I got into the rest of the job. I, personally, would also use spring compressors, both because I already have one and because those things scare me. Note that the shocks provide the main downstop for the trailing arms, so you'll want to jack the trailing arm a bit before removing the shock. The stops on the subframe are there for backup. The manual says to lower the trailing arms slowly onto the subframe stop, lest you damage your CV axle joints; that's good advice.
There's lots of little things you'll need to disconnect to actually remove the subframe assembly, like brake lines (main and parking) and the sway bar links. Take it slow, think it through, and be safe.