The engine's rear motor mount bracket serves as the bearing carrier for the passenger axle's center bearing. The bearing is held there by a snap ring and a bolt on the bottom of the bracket. By design you should not have to remove the mount bracket. The bearing (w/ axle) should just slip out once the snap ring and bolt are loosened, assuming you've already freed the outer joint from the wheel hub.
Unfortunately, many people find that their bearing is stuck in the carrier due to corrosion, and if you can't beat it out with a punch/drift or some other method then you have to resort to more drastic measures. One option is to leave the bearing and the inner shaft between the carrier and the differential in place and only replace the outer section of the shaft. The other option is to remove the motor mount bracket together with the entire axle and then free the bearing/axle for the carrier once it's out.
If you haven't already seen them, here are a couple useful threads.
From the pinned DIY thread:
this is a "how to" on replacing the passenger's side CV boots (warning- many photos)
In this one, he doesn't replace the entire passenger axle, only the outer portion, thus he doesn't have to remove the bearing from the mount.
Need help with axles
This one has a youtube video linked where the guy takes out the motor mount with the axle in a rather unique way.