This is the Cathedral Basilica of St. Francis of Assisi in Santa Fe. The cathedral was built from 1869-1887 under the direction of Bishop John Baptiste Lamy — it was constructed around the church built on the site in 1714. The spires were never completed.
The Cathedral of St. Francis was designated a basilica by the pope in 2005 (a basilica being a church of particular importance).
At its founding 400 years ago, Santa Fe was designated La Villa Real de la Santa Fé de San Francisco de Asís (the Royal Town of the Holy Faith of Saint Francis of Assisi).
Photo taken with an iPhone 3G this evening just before 8. The tones were much richer to the eye than those captured by this image. All the same, you might want to click on the image for the larger version.