CAP vs. GC Aux

I'm still pretty new in CAP. One thing I've realized is that it takes
at least a year or two before you can actually fly missions. There are
lots and lots and lots of training courses and certifications you much
receive first.
I've also noticed that we have a Coast Guard Auxiliary in town
(Sacramento) with an active aviation unit. What is the difference to a
pilot (in terms of training, missions, aircraft) between CG and AF aux?

BTW: I heard rumor that CG aux get full BX priv's while CAP only get
uniform BX privs.

-Robert, CFI