Nori,
Arizona is a big place with lots of soil types, so not sure this is on point. But anyway...
If you are in caliche soils, you will only get minimal depths unless you concentrate on deepening the soil. Subsoiler is one way of doing it, best to go as deep as possible and do it right by doing it once with a big machine. The issue is that those soils recompact very quickly, so don't spend
alot of resources unless you have a plan to maintain and gradually deepen your soil depth. In my
experience in AZ, this means you need heavy shade for the dry season (because it is brutal for soil microbes) and a plan to annually incorporate biomass. This can be from the shade plants at the beginning of the wet season, so a timed chop and drop. There are lots of plants that grow really fast there and provide shade even once cut down for a long time. Unfortunately some are kind of invasive... So you may develop a plan to have a maturing layer behind the fast growers, and you can schwack the fast growers into submission later if you know how to kill them off. Tillage radishes/turnips may help especially the first couple years. It is so dry there that I don't think they will even degrade much until you get toward the wet season, leaving you with better soil structure when you need it from all the
root mass. And
earthworks in AZ are well documented as being important in the dry areas if you can do them.
My best garden in AZ was in partial shade. Full sun I could only grow in spring and fall. Best of luck!