There is remarkable similarity, almost certainly from convergent, independent evolution of techniques rather than a diffusion of ideas, between the Ancient Puebloan civilization of Mesa Verde at the state it was in shortly before its peoples moved to cliff dwellings ca. 1000 CE onwards (my family took a trip there last weekend), and the earliest cities and temples in the Turkey.
Nearby Catal Hoyuk, the earliest city in Turkey, dates to about 11,500 BCE. looks very much like the villages built atop Mesa Verde with access via roof ladders to multiple dwellings that share walls.
The oldest temple in Turkey, at Gobekli Tepe, is about two thousand years older. It within twenty miles or so of the place where wheat was first domesticated and also very close to the original site of the domestication of rye. It uses a masonry construction similar to that of Mesa Verde and has circular structures ringed by stone pillars bearing a general similarity to the early kivas of the Ancient Puebloans. The art in the temple also bears similarites to Ancient Puebloan petroglyphs.
The earth mother religion found in Pueblo Indian tradition also shows strong similarities to the religion believed to be practiced at Gobekli Tepe which remained a strong strain of religion in the region roughly until the Indo-Europeans arrived on the scene. The burial customs show some similarities to tumulus burials in Europe and Asia, and the arid conditions lead to the preservation of natural mummies, much as they did in Egypt, Scandinavia, and the Tarim Basin.
(Notably, the current museum and park displays make no mention of the burial customs of the Ancient Puebloans aka Anasazi, despite the fact that this was a central part of the focus of the park in from the 1930s and are a key part of European and Asian presentations of ancient cultures. A reburial of about 1500 sets of human remains conducted privately by Hopi Indians was conducted in 2006.)