"The Anasazi peoples did not live in the Manitou Springs area, but lived and built their cliff dwellings in the Four Corners area, several hundred miles southwest of Manitou Springs. The Manitou Cliff Dwellings were built in their present location in the early 1900s, as a tourist attraction. The building stones were taken from a collapsed Anasazi site in southwest Colorado, shipped hundreds of miles to Manitou Springs, and assembled in their present form as Anasazi-style buildings, some of which are replicas of well-known buildings in Mesa Verde National Park. The project was done with the participation of well-known anthropologist Dr. Edgar Lee Hewett."
They are also mentioned in a book by an anthropologist, titled Inauthentic Archaeologies.
Funny how they don't mention this on their official website.