By "archaic" do you mean they got there first? Because farming has been around in (e.g.) Arizona for >100 years, and there weren't any problems back then when there was mostly a whole lot of nothin' in the region.
* https://podcasts.apple.com/us/podcast/an-arizona-farmer-on-h...
* https://podcasts.apple.com/us/podcast/understanding-the-real...
Then folks decided that building large population centres in the middle of the desert was a good idea, and here we are.
It should also be noted that Native Americans were also living and farming before white settlers arrived:
* https://en.wikipedia.org/wiki/Phoenix,_Arizona#Early_history
Though it's not like having large civilizations living in a desert is unique to the American (South-)West: see Mesopotamia and Egypt. They're just usually huddle around rivers.