It is a native here in NW Argentina in dry winter regions. Invasive and capable of germinating in cracks in walls and as it grows breaking the wall apart.
Very popular as a folk medicine. The leaves' epidermis is carefully peeled and the fleshy surface left applied on burns, rashes, wounds. and any sort of skin problem. Reputed to be very effective in aiding healing.
I have seen it used in borders in the web as a short shrub (killed down by frost?)
In your dry climate I would make any effort to kill as many as I can.